KURANO Kazuhiko 蔵野和彦

… Alternative Names

Researcher Number	90205188
Other IDs
External Links
Affiliation (Current)	2022: 明治大学, 理工学部, 専任教授
Affiliation (based on the past Project Information) *help	2016 – 2022: 明治大学, 理工学部, 専任教授 2017: 明治大学, 理工学研究科, 教授 2003 – 2015: Meiji University, school of soi. and teohv, professor, 理工学部, 教授 2014: 明治大学, 理工学研究科, 教授 2010: 明治大学, 理工学研究科, 教授 … More
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Algebra / 代数学・幾何学 / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator Cox環 / 因子類群 / Cox 環 / リーマン・ロッホ / チャウ群 / 局所環 / 数値的同値 / グロタンディェク群 / 永田予想 / 代数学 … More Except Principal Investigator 可換環論 / 重複度 / 導来圏 / 特異点 / Grothendieck群 / F-threshold / tight closure / Cohen-Macaulay ring / 代数幾何学 / 不変式環 / 可換環 / 環論 / 代数学 / Frobenius写像 / Gorenstein環 / lc threshold / 正準加群 / 有理特異点 / F-pure / 鎖複体 / Dutta multiplicity / Cohen-Macaulay環 / Derived category / Chain complex / 岩澤理論 / 岩澤主予想 / Iwasawa theory / Chow群 / multiplier ideal / 整閉イデアル / Rees代数 / Buchsbaum ring / 有限群 / 不変部分体 / 乗法的作用 / 整数論 / コンピュータ / アルゴリズム / ソフト / データ / ネットワーク / メイリングリスト / TNT / 多項式環 / 代数群 / 良いフィルター付け / 作用 / 不変式論 / 局所コホモロジー / 次数付き環 / 三角圏 / ホモトピー圏 / Recollement / 完全環 / 特異点論 / 乗数イデアル / 整閉包 / 次数付環 / a-invariant / jumping number / recollement / Cox環 / 因子類群 / 記号的べき乗 / 記号的リース代数 / シンボリックリース代数 / シンボリックリース環 / イデアル類群 / ideal class group / Zariski pair / 楕円曲線 / elliptic curve / Frobenius多元環 / Hilbert-Kunz multiplicity / log terminal singularity / 正則局所環 / F-pure threshold / Hilbert-Kunz重複度 / F-regular ring / Frobenius endomorphism / Rees algebra / index of reducibility / Buchsbaum環 / multiplicity / Tilting complex / Grothendieck group / Gorenstein / F-rational ring / totally reflexive module / 整数表現 / 有理関数体 / 有理体 / 半有理体 / 線型的作用 / Galois 理論 / Brauer group / Hasse principle / Wu's formula / Steenrud squaring operator / 計算機代数 / グレブナー基底 / 符号理論 / ヒルベルトの第14問題 / quiver / フェアリンデ公式 / ヒルベルト概型 / エンリケス曲面 / ファノ多様体 / モジュライ / 代数的ベクトル束 / 高次元双有理幾何学 / Verlinde公式 / 代数曲面 / K3曲面 / Enriques曲面 / Hilbert概型 / Brill-Noether理論 / Hom概型 / レベル階数双対性 / Kummer曲面 / Hilbertの第14問題 / 閉包操作 / Matijevic-Roberts型定理 / Matlis双対性 / 密着閉包 / 同変局所コホモロジー / G局所スキーム / 線型簡約群 / G素イデアル / G準素イデアル / G整域 / G局所Gスキーム / G中山の補題 / G局所双対性 / イデアル / 完全鎖複体 / ネーター環 / コーエン・マコーレー加群 / 安定圏 / graded ring / 多様体 / コンパクト対象 / フロベニウス多元環 / 加群圏 / 森田同値 / 安定同値 / 正標数の手法 / test ideal / coefficient ideal / 代数幾何 / N鎖複体 / 上三角行列環 / 次数環 / Iwanaga-Gorenstein環 / Cohen-Macaulay加群 / 標準因子 / stable t-structure / Serre functor / functorially finite部分圏 / Calabi-Yau三角圏 / Seshadri constant / 射影平面 / 亜主束 / Frobenius 写像 / F-signature / 小行列式 / 極小自由分解 / 同変全商環 / 簡約群 / 強F正則性 / 一意分解整域 / シンボリックパワー / symbolic power / symbolic Rees algebra / F-pure rings / Hilbert-Kunz 重複度 / a 不変量 / F-rational / jet scheme / 一般化された test ideal / 半群環 / 不変式 / モノドロミー / 鏡映 / 超平面配置 / 超幾何積分 / 局所系コホモロジー / 鏡映群 / コクセタ-群 / hyperplane arrangement / hypergeometric integral / local system cohomology / reflection group / 森田双対理論 / Auslander-Gorenstein環 / 入射加群 / ハミルトニアン / Chern character / 双対鎖複体 / blow-up / 量子 / Morita duality theory / Auslander-Gorenstein ring / Injective module / Perfect ring / Hamiltonian / グリーンバーグ予想 / 最大アーベル拡大 / セルマ-群 / Greenberg conjecture / maximal abelian extension / 局所環 / ホモロジー / フィルトレーション / ホモロジー代数 / 次数付主環 / Local Ring / Graded Ring / Homology / Galois被覆 / 線型表現 / (2,3)torus曲線 / 双対曲線 / 楕円曲面 / 格子 / 交点数 / Fiber sum / Galois cover / Linear representaion / (2, 3) torus curves / dual curves / elliptic surface / lattices / テイトシャファレビッチ群 / スーパーシンギュラー還元 / テイトーシャファレビッチ群 / 岩澤不変量 / ティトーシャファレビッチ群 / スーパーシンギュラーリダクション / Tate-Shafarevich group / supersingular reduction / Picard群 / 導来Picard群 / 遺伝多元環 / 導来Picarrd群 / t-structure / torsion theory / compact object / intersection multiplicity / Roberts ring / Picard groups / Derived Picard groups / Hereditary algebras / Grothendieck groups / Chow groups / Frobenius algebras / thight closure / log resolution / UFD / Seifelt手術 / 全座標環 / 素元分解環 / 特異点の解消 / subadditivity / regular ring / terminal singularity / blowing up / 商特異点 / F-pure ring / regular local ring / エクセレント環 / 双対比複体 / Cousin複体 / Rees環 / blowing-up / Cohen-Macaulay化 / 双対化複体 / cousin複体 / スタンダード・パラメーター系 / Noether環 / 特異点解消 / excellent ring / dualzing complex / Cousin complex / Noether局所環 / Buchsbaum局所環 / Cohen-Macaulay局所環 / FLC局所環 / homological dimension / 射影次元 / 入射次元 / 優良イデアル / Noetheian algebra / Bass数 / FLC ring / local cohomology / system of parameters / Gorenstein ring / 岩澤加群 / Fittingイデアル / Stickelbergerイデアル / Iwasawa main conjecture / Iwasawa module / Fitting ideal / 対称多元環 / グラスマン多様体 / quasi-Frobenius拡大 / 群環 / 斉次座標環 / 自己入射的多元環 / 準フロベニウス環拡大 / socle / tilting複体 / ネーター局所環 / Symmetric algebra / Grassmanian / Quasi-Frobenius extension / 双対性 / 幾何学的商 / 大域的F正則性 / Schubert多様体 / 純 / 有限型 / 捻じれ逆像 / 捻れ逆像 / 擬関手 / スキーム / action / duality / geometric quotient / global F-regularity / Schubert variety / 非有界導来圏 / アウスランダー条件 / 傾斜鎖複体 / 導来ピカール群 / ヒルベルト・クンツ関数 / ゴーレンシュタイン環 / 平坦次元 / 傾斜加群 / 傾斜対象 / 自己三角同値群 / 非有界鎖複体 / アルティン環 / 単純加群 / 標準加群 / フロベニウス射 / Q-ゴーレンシュタイン環 / アーベル圏 / classical generators / maximal minors / Chow環 / Unbounded derived category / Auslander condition / Derived Picard group / Chow group / Hilbert-Kunz function / Blow-up代数 / 随伴次数環 / 巴系イデアルのsocle / 局所コホモロジー加群 / Cohen-Macaulay型 / generalized Grassmannian algebra / Rees algebra of ideals / Rees algebra of modules / Commutative algebra / Singularities / Blow-up algebra / Multiplicity / F-有理環 / totally reflexive加群 / 標数p>0の手法 / jumping coefficient / F-正則対 / rational singularity / integral closure / 加群のリース環 / 加群のリース代数 / シチジー理論 / シンボリック冪 / Cox 環 / シンボリック Rees 環 / Hibi 環 Less

On finite generation of symbolic Rees ringsPrincipal Investigator
- Principal Investigator
  
  蔵野和彦
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Meiji University
シチジー理論とシンボリック冪の現代的潮流を踏襲する可換環論の戦略的研究の展開
- Principal Investigator
  
  日比孝之
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Osaka University
On finite generation of symbolic Rees rings of defining ideals of space monomial curvesPrincipal Investigator
- Principal Investigator
  
  蔵野和彦
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Meiji University
Cohen-Macaulay cone and its applicationPrincipal Investigator
- Principal Investigator
  
  Kurano Kazuhiko
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Research on the powers of modules and their saturation
- Principal Investigator
  
  Nishida Koji
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chiba University
An algebraic approach to Nagata conjecturePrincipal Investigator
- Principal Investigator
  
  Kurano Kazuhiko
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Research on Noetherian property of symbolic Rees algebras
- Principal Investigator
  
  NISHIDA Koji
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chiba University
Commutative Ring Theory of Singularities of Algebraic Varieties
- Principal Investigator
  
  WATANABE Kei-ichi
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Study of subcategories of triangulated categories and derived equivalences of algebras
- Principal Investigator
  
  MIYACHI Jun-ichi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University
Invariant theory which uses equivariant sheaves
- Principal Investigator
  
  HASHIMOTO Mitsuyasu
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Study of local rings with discrete class group and its Picard numberPrincipal Investigator
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Characteristic p method in singularity theory
- Principal Investigator
  
  WATANABE Keichi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Computing j-multiplicity ant its application
- Principal Investigator
  
  NISHIDA Koji
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chiba University
Study of perfect complexes over algebras and derived equivalences
- Principal Investigator
  
  MIAYCHI Jun-ichi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University
Closure operations and actions of algebraic groups
- Principal Investigator
  
  HASHIMOTO Mitsuyasu
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
A research of algebraic cycles on local ringsPrincipal Investigator
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert
- Principal Investigator
  
  MUKAI Shigeru
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Singurality Theory and Frobenius Morphism
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Study of perfect complexes over algebras and their properties
- Principal Investigator
  
  MIYACHI Jun-ichi
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University
Study of graded rings associated to ideals and modules
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Duality of sheaves with actions
- Principal Investigator
  
  HASHIMOTO Mitsuyasu
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Numerical equivalence on Chow groups of local rings and its applicationsPrincipal Investigator
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Refinement of Iwasawa theory and its applications
- Principal Investigator
  
  KURIHARA Masato
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Study of Derived Categories and Chain complexes
- Principal Investigator
  
  MIYAUCHI Jun-ichi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO GAKUGEI UNIVERSITY
Commutative ring theory and singularity theory
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Study of blowing-aps.
- Principal Investigator
  
  KAWASAKI Takeshi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Study of Blowing-up rings
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Study of Invariant on Derived Categories over Algebras
- Principal Investigator
  
  MIYACHI Jun-ichi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University
Research on Dutta multiplicity and Roberts ringPrincipal Investigator
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Analysis of Filtrations in Local Rings and the Associated graded rings
- Principal Investigator
  
  NISHIDA Koji
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  CHIBA UNIVERSITY
Integrated study on problems related to branched Galois covers
- Principal Investigator
  
  TOKUNAGA Hiroo
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
  Kochi University
Grant-in-Aid for Scientific Research(C)(2)
- Principal Investigator
  
  KURIHARA Masato
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
代数幾何学と計算機代数、符号理論
- Principal Investigator
  
  丸山正樹
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Resolution of singularities in arbitrary characteristicPrincipal Investigator
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
Study of Hyperplane Arrangements
- Principal Investigator
  
  TAKEDA Yuichiro, TREAO Hiroaki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
  Hokkaido University
Study on Representations of Algebras and Derived Categories
- Principal Investigator
  
  MIYACHI Jun-ichi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University
P-adic L-functions of modular forms and the Euler systems
- Principal Investigator
  
  KURIHARA Masato
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
整数論のアルゴリズム,データベース,コンピュータ実験
- Principal Investigator
  
  中村憲
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
ネーター・スキームのコーエン・マコーレー化の研究Principal Investigator
- Principal Investigator
  
  蔵野和彦
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
ブラウワ-群と関連した代数多様体の算術理論
- Principal Investigator
  
  卜部東介
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
局所環のスペクトラムでの交点理論の研究Principal Investigator
- Principal Investigator
  
  蔵野和彦
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
超幾何関数への基本群の表現とそのl進類似
- Principal Investigator
  
  寺杣友秀
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tokyo Metropolitan University
整数論のアルゴリズム、データベース、コンピュータ実験
- Principal Investigator
  
  中村憲
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
代数多様体のガウス-マニン系と、そのl進コホモロジーでの類似
- Principal Investigator
  
  寺杣友秀
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tokyo Metropolitan University
代数多様体の積分周期及びその有限体上での類似
- Principal Investigator
  
  寺杣友秀
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
有限群の整数表現
- Principal Investigator
  
  遠藤静男
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University
有限群の整数表現とその応用
- Principal Investigator
  
  遠藤静男
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University
半単純代数群の不変式論
- Principal Investigator
  
  中島晴久
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University

[Journal Article] Infinitely generated symbolic Rees rings of space monomial curves having negative curves2019
- Author(s)
  K. Kurano, K. Nishida
- Journal Title
  
  Michigan Math. J.
  
  Volume: 68 Pages: 405-445
- DOI
  10.1307/mmj/1557475399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03226, KAKENHI-PROJECT-19H00637
[Journal Article] Demazure construction for Z^n-graded Krull domains2019
- Author(s)
  Y. Arai, A. Echizenya, K. Kurano
- Journal Title
  
  Acta Math. Vietnamica
  
  Volume: 44 Pages: 173-205
- DOI
  10.1007/s40306-018-0281-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03226, KAKENHI-PROJECT-19H00637
[Journal Article] Demazure construction for Z^n-graded Krull domains2019
- Author(s)
  Y. Arai, A. Echizenya, K. Kurano
- Journal Title
  
  Acta Math. Vietnam
  
  Volume: 44 Pages: 173-205
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04828
[Journal Article] Infinitely generated sybolic Rees rings of space monomial curves having negative curves2018
- Author(s)
  Kazuhiko Kurano and Koji Nishida
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400038
[Journal Article] An elementary proof of Cohen-Gabber theorem in the equal characteristic p > 0 case2018
- Author(s)
  K. Kurano, K. Shimomoto
- Journal Title
  
  Tohoku Math. J.
  
  Volume: 70 Pages: 377-389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03226
[Journal Article] An elementary proof of Cohen-Gabber theorem in the equal characteristic p > 0 case2018
- Author(s)
  K. Kurano, K. Shimomoto
- Journal Title
  
  Tohoku Math. J.
  
  Volume: 70 Pages: 377-389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04828
[Journal Article] The cone spanned by maximal Cohen-Macaulay modules and an application2016
- Author(s)
  C.- Y. Chan, Kazuhiko Kurano
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: 368 Pages: 939-964
- DOI
  10.1090/tran/6457
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540054, KAKENHI-PROJECT-15K04828
[Journal Article] Boundary and shape of Cohen-Macaulay cone2016
- Author(s)
  Hailong Dao, Kazuhiko Kurano
- Journal Title
  
  Math. Ann.
  
  Volume: 364 Pages: 713-736
- DOI
  10.1007/s00208-015-1231-y
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540054, KAKENHI-PROJECT-15K04828
[Journal Article] Hilbert-Kunz functions over rings regular in codimension one2016
- Author(s)
  C.- Y. Chan, Kazuhiko Kurano
- Journal Title
  
  Comm. in Algebra
  
  Volume: 44 Pages: 141-163
- DOI
  10.1080/00927872.2014.974247
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540054, KAKENHI-PROJECT-15K04828
[Journal Article] On the limit of Frobenius in the Grothendieck group2015
- Author(s)
  K. Kurano, K. Ohta
- Journal Title
  
  Acta Math. Vietnam
  
  Volume: 40
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540054
[Journal Article] The divisor class groups and the graded canonical modules of multi-section rings2013
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Nagoya Math. J.
  
  Volume: 212 Pages: 139-157
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540054
[Journal Article] Gorenstein isolated quotient singularities of odd prime dimension are cyclic2013
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Communications in Algebra
  
  Volume: 40
- DOI
  10.1080/00927872.2011.551902
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050, KAKENHI-PROJECT-24540054
[Journal Article] Gorenstein isolated quotient singularities of odd prime dimension are cyclic2012
- Author(s)
  K. Kurano, S. Nishi
- Journal Title
  
  Communications in Algebra
  
  Volume: 40 Pages: 3010-3020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] Gorenstein isolated quotient singularities of odd prime dimension are cyclic2012
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Comm. in Algebra
  
  Volume: 40 Pages: 3010-3020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540042
[Journal Article] Asymptotic regularity of powers of ideals of points in a weighted projective plane2011
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Kyoto Journal of Math
  
  Volume: 51 Pages: 25-45
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540042
[Journal Article] The canonical module of a Cox ring2011
- Author(s)
  M. Hashimoto, K. Kurano
- Journal Title
  
  Kyoto J. Math
  
  Volume: 51 Pages: 855-874
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540046
[Journal Article] The canonical module of a Cox ring2011
- Author(s)
  M. Hashimoto, K. Kurano
- Journal Title
  
  Kyoto Journal of Math
  
  Volume: 51 Pages: 855-874
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] Asymptotic regularity of powers of ideals of points in a weighted projective plane2011
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Kyoto Journal of Math.
  
  Volume: 51 Pages: 25-45
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540042
[Journal Article] The canonical module of a Cox ring2011
- Author(s)
  M.Hashimoto, K.Kurano
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 51 Pages: 855-87410
- DOI
  10.1215/21562261-1424884
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540046
[Journal Article] Asymptotic regularity of powers of ideals of points in a weighted projective plane2011
- Author(s)
  S. D. Cutkosky, K. Kurano
- Journal Title
  
  Kyoto Journal of Math.
  
  Volume: 51 Pages: 25-45
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] The canonical module of a Cox ring2011
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Kyoto Journal of Math
  
  Volume: 51 Pages: 855-874
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540042
[Journal Article] On finite generation of symbolic Rees rings of space monomial curves and existence of negative curves2009
- Author(s)
  K.Kurano
- Journal Title
  
  J.Algebra 322
  
  Pages: 3268-3290
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] Ei-Ichi Sato, Anurag K. Singh, And Kei-Ichi Watanabe, Multigraded rings, diagonal subalgebras, and rational singularities2009
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  J. Algebra 322
  
  Pages: 3248-3267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540013
[Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009
- Author(s)
  K.Kurano, E.Sato, A.Singh K.Watanabe
- Journal Title
  
  Journal of Algebra 322
  
  Pages: 3248-3267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540050
[Journal Article] On finite generation of symbolic Rees rings of space monomial curves and existence of negative curves2009
- Author(s)
  K. Kurano, N. Matsuoka
- Journal Title
  
  J. Algebra 332
  
  Pages: 3268-3290
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540025
[Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009
- Author(s)
  K.Kurano, E.Sato, A.Singh., K.Watanabe
- Journal Title
  
  J.of Algebra vol.322
  
  Pages: 3248-3267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540050
[Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009
- Author(s)
  K. Kurano, E.-i. Sato, A.K. Singh, K.-i. ~Watanabe
- Journal Title
  
  J. Algebra 322
  
  Pages: 3248-3267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540025
[Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009
- Author(s)
  K.Kurano
- Journal Title
  
  J.Algebra 322
  
  Pages: 3248-3267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  J.Algebra 322
  
  Pages: 3248-3267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540013
[Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009
- Author(s)
  K. Kurano, E.-i. Sato, A. K. Singh, K.-i.Watanabe
- Journal Title
  
  J. Algebra
  
  Volume: 322 Pages: 3248-3267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] On finite generation of symbolic Rees rings of space monomial curves and existenceof negative curves2009
- Author(s)
  K. Kurano, N. Matsuoka
- Journal Title
  
  J. Algebra
  
  Volume: 322 Pages: 3268-3290
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] A local ring such that the map between Grothendieck groups with rational coefficients induced by completion is not injective2008
- Author(s)
  K. Kurano and V. Srinivas
- Journal Title
  
  Michigan Math. J. 57
  
  Pages: 485-498
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] A loca1 ring such that the map between Grothendieck groups with rational coefficients induced by completion is not injedtive2008
- Author(s)
  K. Kurano
- Journal Title
  
  Michigan Math. J. 57
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Vasudevan Srinivas, A local ring such that the map between Grothendieck groups with rational coefficients induced by completion is not injective2008
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Michigan Math. J 57
  
  Pages: 485-498
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540013
[Journal Article] A local ring such that the map between Grothendieck groups with rational coefficients induced by completion is not injective2008
- Author(s)
  K. Kurano, V. Srinivas
- Journal Title
  
  Michigan Math. J. 57
  
  Pages: 485-498
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540025
[Journal Article] A local ring such that the map between Grothendieck groups with rational coefficients induced by completion is not injective2008
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Michigan Math. J. 57
  
  Pages: 285-498
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540013
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions2006
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  J. Algebra 304
  
  Pages: 487-499
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions2006
- Author(s)
  K.Kurano
- Journal Title
  
  J.Alg. 304
  
  Pages: 487-499
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions2006
- Author(s)
  K. Kurano
- Journal Title
  
  J. Algebra 304
  
  Pages: 487-499
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions2006
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  J.Algebra 304
  
  Pages: 487-499
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions2006
- Author(s)
  K.Kurano
- Journal Title
  
  J.Algebra 304
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions2006
- Author(s)
  K.Kurano
- Journal Title
  
  J.Algebra 304
  
  Pages: 487-499
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions,2006
- Author(s)
  K.Kurano
- Journal Title
  
  Journal of Algebra 304
  
  Pages: 487-499
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring2005
- Author(s)
  S. Goto, F. Hayasaka, K. Kurano, Y. Nakamura
- Journal Title
  
  Commutative Algebra and Algebraic Geometry, Contemp. Math. Amer. Math. Soc., Providence, RI 390
  
  Pages: 97-108
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions2005
- Author(s)
  K. Kurano
- Journal Title
  
  J. Algebra 294
  
  Pages: 373-407
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring2005
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Contemporary Math. 390
  
  Pages: 97-108
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] Rees algebras of the Second syzygy module of the residue field of a regular local ring2005
- Author(s)
  S.Goto, F.Hayasaka, K.Kurano, and Y.Nakamura
- Journal Title
  
  Commutative Algebra and Algebraic Geometry, Contemp. Math., Amer.Math.Soc., Providence, RI, 2005 390
  
  Pages: 97-108
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions2005
- Author(s)
  K., Kurano
- Journal Title
  
  J. of Algebra 304
  
  Pages: 487-499
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring2005
- Author(s)
  後藤四郎, 早坂太, 蔵野和彦, 中村幸男
- Journal Title
  
  Contemp.Math. 390
  
  Pages: 97-108
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Numerical equivalence defined on Chow groups of Noetherian local rings2004
- Author(s)
  K.Kurano
- Journal Title
  
  Invet. Math. 157
  
  Pages: 575-619
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] The total coordinate ring of a normal projective variety2004
- Author(s)
  J.Elizondo, K.Kurano, K.Watanabe
- Journal Title
  
  J.of Algebra vol.276
  
  Pages: 625-637
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440015
[Journal Article] The total coordinate ring of normal projective variety2004
- Author(s)
  J.Elizondo, K.Kurano, K.Watanabe
- Journal Title
  
  Journal of Algebra 276
  
  Pages: 625-637
- Data Source
  KAKENHI-PROJECT-13440015
[Journal Article] Numerical equivalence defined on Chow groups of Noetherian local rings2004
- Author(s)
  K.Kurano
- Journal Title
  
  Invent.Math. 157
  
  Pages: 575-619
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Numerical equivalence defined on Chow groups of Noetherian local rings2004
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Invent.Math. 157
  
  Pages: 575-619
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] Numerical equivalence defined on Chow groups of Noetherian local rings2004
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Invent.Math. 157
  
  Pages: 575-619
- Data Source
  KAKENHI-PROJECT-15540018
[Journal Article] The total coordinate ring of a normal projective variety2004
- Author(s)
  E.J.Elizondo, K.Kurano, K.-i.Watanabe
- Journal Title
  
  J.Algebra 276
  
  Pages: 625-637
- Data Source
  KAKENHI-PROJECT-15540018
[Journal Article] Numerical equivalence defined on Chow groups of Noetherian local rings2004
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Invent. Math. 157
  
  Pages: 575-619
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] Numerical equivalence defined on Chow groups of Noetherian local rings2004
- Author(s)
  K.Kurano
- Journal Title
  
  Invent. Math. 157
  
  Pages: 575-619
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] The total coordinate ring of a normal projective variety,2004
- Author(s)
  J.Elizondo, K.Kurano, K.Watanabe
- Journal Title
  
  Journal of Algebra, 276
  
  Pages: 625-637
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440015
[Journal Article] On Roberts rings,2001
- Author(s)
  K.Kurano
- Journal Title
  
  J.of Mathematical Society of Japan 53
  
  Pages: 333-355
- NAID
  10006654637
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440015
[Journal Article] Ideal-adic completion of quasi-excellent rings (after Gabber)
- Author(s)
  K. Kurano, K. Shimomoto
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04828
[Journal Article] Infinitely generated symbolic Rees rings of space monomial curves having negative curves
- Author(s)
  K. Kurano, K. Nishida
- Journal Title
  
  Michigan Math. J.
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04828
[Journal Article] The canonical module of a Cox ring
- Author(s)
  橋本光靖, 藏野和彦
- Journal Title
  
  Kyoto Journal of Math.
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] The divisor class groups and the graded canonical modules of multi-section rings
- Author(s)
  K. Kurano
- Journal Title
  
  Nagoya Math. J
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Contemporary Math. (to appear)(掲載時期未定)
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] An elementary proof of Cohen-Gabber theorem in the equal characteristic p > 0 case
- Author(s)
  Kazuhiko Kurano, Kazuma Shimomoto
- Journal Title
  
  Tohoku Math. J.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04828
[Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities
- Author(s)
  K. Kurano
- Journal Title
  
  J. of Algebra (to appear)(確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions
- Author(s)
  K.Kurano
- Journal Title
  
  J.Algebra (to appear)
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] A local ring such・that the map between Grothendieck groups with rational coefficients induced by completion is not injective
- Author(s)
  K.Kurano
- Journal Title
  
  Michigan Math.J (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions
- Author(s)
  K.Kurano
- Journal Title
  
  J. Algebra to appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions
- Author(s)
  蔵野和彦
- Journal Title
  
  J.Algebra (to appear)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Ideal-adic completion of quasi-excellent rings (after Gabber)
- Author(s)
  K. Kurano, K. Shimomoto
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03226
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring
- Author(s)
  S.Goto, F.Hayasaka, K.Kurano, Y.Nakamura
- Journal Title
  
  Contem.Math. (to appear)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Infinitely generated symbolic Rees rings of space monomial curves having negative curves
- Author(s)
  Kazuhiko Kurano, Koji Nishida
- Journal Title
  
  Michigan Math. J.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04828
[Journal Article] Infinitely generated symbolic Rees rings of space monomial curves having negative curves,
- Author(s)
  K. Kurano, K. Nishida
- Journal Title
  
  Michigan Math. J.
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03226
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions
- Author(s)
  K.Kurano
- Journal Title
  
  J.Algebra (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Ideal-adic completion of quasi-excellent rings (after Gabber)
- Author(s)
  K. Kurano, K. Shimomoto
- Journal Title
  
  Kyoto J. Math.
  
  Volume: ??
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03226
[Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities
- Author(s)
  K. Kurano, E.-i. Sato, A. K. Singh and K.-i. Watanabe
- Journal Title
  
  J. of Algebra (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] The singular Riemann-Roch theorem and Hilbert-Kunz functions
- Author(s)
  Kazuhiko Kurano
- Journal Title
  
  Journal of Algebra (to appear)
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] An elementary proof of Cohen-Gabber theorem in the equal characteristic p>0 case
- Author(s)
  kazuhiko Kurano, Kazuma Shimomoto
- Journal Title
  
  Tohoku Math. J.
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] Rationality of the negative curves and finite generation of symbolic Rees rings2019
- Author(s)
  K. Kurano
- Organizer
  Commutative Algebra and its Environs,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] Rationality of negative curves and finite generation of symbolic Rees rings2019
- Author(s)
  藏野和彦
- Organizer
  Singularities and related topics、東京大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03226
[Presentation] Rationality of the negative curves and finite generation of symbolic Rees rings2019
- Author(s)
  K. Kurano
- Organizer
  Commutative Algebra and its Environs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03226
[Presentation] Cox 環の可換環論2019
- Author(s)
  藏野和彦
- Organizer
  第32回可換環論セミナー、弘前大学
- Invited
- Data Source
  KAKENHI-PROJECT-18K03226
[Presentation] Rationality of negative curves and finite generation of symbolic Rees rings2019
- Author(s)
  Kazuhiko Kurano
- Organizer
  Singularities And Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H00637
[Presentation] 西村-西村-Gabber の定理について2017
- Author(s)
  藏野和彦
- Organizer
  Commutative Algebra Day in Kyoto
- Invited
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] Modificationによる等標数でのbig Macの構成とSerreの重複度予想2017
- Author(s)
  藏野和彦
- Organizer
  可換環論と数論幾何の新展開～ホモロジカル予想を通じて～
- Invited
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] Infinitely generated symbolic Rees rings of space monomial curves having negative curves2017
- Author(s)
  藏野和彦
- Organizer
  The Prospects for Commutative Algebra
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] A fan determined by a Z^n-graded domain and Z^n-graded Demazure construction2016
- Author(s)
  Kazuhiko Kurano
- Organizer
  International Conference and the 8th Japan-Vietnam joint Seminar on Commutative Algebra
- Place of Presentation
  Ha Long, Vietnam
- Year and Date
  2016-03-21
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] A fan determined by a Z^n-graded domain and Z^n-graded Demazure construction2016
- Author(s)
  Kazuhiko Kurano
- Organizer
  International Conference and the 8th Japan-Vietnam joint Seminar on Commutative Algebra
- Place of Presentation
  Ha Long, Vietnam
- Year and Date
  2016-03-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] 準エクセレント環のイデアルアデック完備化に関する Gabber の仕事2016
- Author(s)
  藏野和彦
- Organizer
  Commutative Algebra Day in Tokyo
- Place of Presentation
  東京大学数理科学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] Numerical equivalence and maximal Cohen-Macaulay modules2016
- Author(s)
  K. Kurano
- Organizer
  The National Congress of Algebraic Geometry
- Place of Presentation
  CMO BIRS, Oaxaca (メキシコ)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] On finite generation of symbolic Rees rings of space monomial curves2015
- Author(s)
  Kazuhiko Kurano
- Organizer
  研究集会「特異点と不変量」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-12-05
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] On finite generation of symbolic Rees rings of space monomial curves2015
- Author(s)
  Kazuhiko Kurano
- Organizer
  研究集会「特異点と不変量」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-12-05
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04828
[Presentation] 次数環上の階数１のコーエンマコーレー加群について2014
- Author(s)
  K. Kurano
- Organizer
  可換環論と表現論　吉野雄二先生還暦記念研究集会
- Place of Presentation
  岡山大学
- Year and Date
  2014-10-12
- Invited
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] Boundary of Cohen-Macaulay cone and asymptotic behavior of system of idealsbehavior of system of ideals2014
- Author(s)
  K. Kurano
- Organizer
  第59回代数学シンポジウム
- Place of Presentation
  東大数理
- Year and Date
  2014-09-08
- Invited
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] Pinkham-Demazure construction for normal Z^{n}-graded rings2014
- Author(s)
  K. Kurano
- Organizer
  Commutative Algebra and Singularity Theory 2014
- Place of Presentation
  立山国際ホテル
- Year and Date
  2014-07-28
- Invited
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] Theta pairing and numerical equivalence2013
- Author(s)
  Kazuhiko Kurano
- Organizer
  Commutative Algebra and its interaction to Algebraic Geometry and Combinatrics,
- Place of Presentation
  VAISM, ハノイ、ベトナム
- Invited
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] On the limit of Frobenius in the Grothendieck group2013
- Author(s)
  Kazuhiko Kurano
- Organizer
  第 35 回可換環論シンポジウム
- Place of Presentation
  数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] The cone spanned by Cohen-Macaulay modules and its applications2013
- Author(s)
  Kazuhiko Kurano
- Organizer
  COMMUTATIVE ALGEBRA AND ITS INTERACTION WITH ALGEBRAIC GEOMETRY
- Place of Presentation
  C.I.R.M. Luminy (France)
- Invited
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] The cone spanned by Cohen-Macaulay modules and applications2013
- Author(s)
  Kazuhiko Kurano
- Organizer
  代数幾何学城崎シンポジウム
- Place of Presentation
  城崎
- Invited
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] The cone spanned by maximal Cohen-Macaulay modules2012
- Author(s)
  藏野和彦
- Organizer
  第24回可換環論セミナー
- Place of Presentation
  霧島市市民サービスセンター
- Year and Date
  2012-01-30
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] MCM加群で張られる錐2012
- Author(s)
  藏野和彦
- Organizer
  第 34 回可換環論シンポジウム
- Place of Presentation
  IPC 生産性国際交流センター (葉山)
- Invited
- Data Source
  KAKENHI-PROJECT-24540054
[Presentation] MCM加群で張られる錐2012
- Author(s)
  藏野和彦
- Organizer
  第34回可換環論シンポジウム
- Place of Presentation
  IPC生産性国際交流センター(葉山)
- Year and Date
  2012-11-25
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] MCM加群で張られる錐2012
- Author(s)
  藏野和彦
- Organizer
  第 34 回可換環論シンポジウム
- Place of Presentation
  IPC 生産性国際交流センター (葉山)
- Invited
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Asymptotic behavior of powers of ideals2011
- Author(s)
  藏野和彦
- Organizer
  2011 NIMS hot topics workshop on "Computational Aspects on Birational Geometry"
- Place of Presentation
  NIMS, Daejeon, 韓国
- Year and Date
  2011-03-31
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Theta invariant and resolutions of singularities2011
- Author(s)
  藏野和彦
- Organizer
  特異点論とそのひろがり(ISHII60)
- Place of Presentation
  京都大学理学部
- Year and Date
  2011-08-25
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Symbolic Rees rings of spacemonomial primes and Nagata conjecture2011
- Author(s)
  藏野和彦
- Organizer
  アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学大阪梅田キャンパス
- Year and Date
  2011-09-04
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Asymptotic behavior of regularity of powers of ideals2011
- Author(s)
  K. Kurano
- Organizer
  2011NIMS hot topics workshop on "Computational Aspects on Birational Geometry
- Place of Presentation
  NIMS,(Daejeon, 韓国)
- Year and Date
  2011-03-31
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Canonical module of multi-section rings2010
- Author(s)
  藏野和彦
- Organizer
  第32回可換環論シンポジウム・第6回JVセミナー
- Place of Presentation
  IPC生産性国際交流センター
- Year and Date
  2010-12-16
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Canonical module ofmulti-section rings2010
- Author(s)
  藏野和彦
- Organizer
  第32回可換環論シンポジウム・第6回JV セミナー
- Place of Presentation
  IPC生産性国際交流センター(葉山)
- Year and Date
  2010-12-16
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] symptotic regularity of powers of ideals of points in a weighted projective plane2010
- Author(s)
  藏野和彦
- Organizer
  he 5th Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  Hanoi (ベトナム)
- Year and Date
  2010-01-05
- Data Source
  KAKENHI-PROJECT-18540025
[Presentation] Asymptotic regularity of symbolic powers of ideals2010
- Author(s)
  藏野和彦
- Organizer
  Seminar on commutative algebra
- Place of Presentation
  大阪大学理学部
- Year and Date
  2010-01-29
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] The canonical module of a Cox ring2010
- Author(s)
  藏野和彦
- Organizer
  Workshop on Local Rings and Local Study of Algebraic Varieties
- Place of Presentation
  ICTP in Trieste, Italy
- Year and Date
  2010-06-10
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] The canonical module of a Cox ring2010
- Author(s)
  K. Kurano
- Organizer
  Workshop on Local Rings and Local Study of Algebraic Varieties
- Place of Presentation
  ICTP (Trieste, Italy)
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Asymptotic regularity of powers of ideals of points in a weighted projective plane2010
- Author(s)
  K. Kurano
- Organizer
  The 5th Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  Institute of Mathematics (Hanoi, Vietnam)
- Year and Date
  2010-01-05
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Asymptotic regularity of powers of ideals of points in a weighted projective plane2010
- Author(s)
  藏野和彦
- Organizer
  The 5th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics Hanoi
- Year and Date
  2010-01-05
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Regularity of symbolic powers of ideals of Nagata type2009
- Author(s)
  藏野和彦
- Organizer
  研究集会Syzygies of Projective Varieties
- Place of Presentation
  佐賀大学理工学部
- Year and Date
  2009-09-12
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Nagata conjecture and symbolic Rees rings of space monomial curves2009
- Author(s)
  K. Kurano
- Organizer
  1st PRIMA
- Place of Presentation
  UNSW (Sydney, オーストラリア)
- Year and Date
  2009-07-06
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Regularity of the symbolic power of space monomial curves2009
- Author(s)
  藏野和彦
- Organizer
  第31回可換環論シンポジウム
- Place of Presentation
  大阪市
- Year and Date
  2009-11-24
- Data Source
  KAKENHI-PROJECT-18540025
[Presentation] 永田予想とspace monomial curveのsymbolic Rees代数について2009
- Author(s)
  藏野和彦
- Organizer
  第21回可換環論セミナー
- Place of Presentation
  釧路市生涯学習センター
- Year and Date
  2009-01-27
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Nagata conjecture and symbolic Rees rings of space monomial curves2009
- Author(s)
  K. Kurano
- Organizer
  The 4th Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  明治大学理工学部
- Year and Date
  2009-02-21
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Nagata conjecture and symbolic Rees rings of space monomial curves2009
- Author(s)
  藏野和彦
- Organizer
  1st PRIMA
- Place of Presentation
  UNSW(Sydney,オーストラリア)
- Year and Date
  2009-07-06
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Nagata conjecture and symbolic Rees rings of space monomial curves2009
- Author(s)
  藏野和彦
- Organizer
  Kommutative Algebra
- Place of Presentation
  Oberwolfach(MFO,ドイツ)
- Year and Date
  2009-04-23
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] 永田予想と space monomial curve の symbolic Rees 代数について2009
- Author(s)
  蔵野和彦
- Organizer
  第21回可換環論セミナー
- Place of Presentation
  釧路市生涯学習センター
- Year and Date
  2009-01-27
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Nagata conjecture and symbolic Rees rings of space monomial curves2009
- Author(s)
  K. Kurano
- Organizer
  Kommutative Algebra
- Place of Presentation
  Oberwolfach (MFO, ドイツ)
- Year and Date
  2009-04-23
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Regularity of the symbolic powers of space monomial curves2009
- Author(s)
  藏野和彦
- Organizer
  第31回可換環論シンポジウム
- Place of Presentation
  ホテルアウィーナ大阪
- Year and Date
  2009-11-24
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Gorenstein quotient isolated sigularities of odd prime dimension are cyclic2008
- Author(s)
  K. Kurano
- Organizer
  COMMUTATIVE ALGEBRA AND ITS INTERACTION WITH ALGEBRAIC GEOMETRY
- Place of Presentation
  C. I. R. M. Luminy (France)
- Year and Date
  2008-10-03
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Symbohc Reesrings of space monomial curves in charactehstic $P$ and existence of negative curves in characteristic $0$2008
- Author(s)
  藏野和彦
- Organizer
  INTERNATIONAL CONFERENCE "Towards estabhshing a cutting-edge platfom for commnutative ring theory in the 21th eentury"
- Place of Presentation
  横浜開講記念会館
- Year and Date
  2008-03-20
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Hard Lefschetz theorem and standard conjecture in commutative ring theory2008
- Author(s)
  藏野和彦
- Organizer
  ミニ研究集会釧路2008
- Place of Presentation
  北海道教育大学釧路校
- Year and Date
  2008-02-18
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Hard Lefschetz theorem and standard eonjecture in commutative ringtheory2008
- Author(s)
  藏野和彦
- Organizer
  ミニ研究集会釧路2008
- Place of Presentation
  北海道教育大学釧路校
- Year and Date
  2008-02-18
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Symbolic Rees rings of space monomial curves in characteristic p and existence of negative curves in characteristic 02008
- Author(s)
  K. Kurano
- Organizer
  INTERNATIONAL CONFERENCE "Towards establishing a cutting-edge platform for commutative ring theory in the 21th century
- Place of Presentation
  横浜開港記念会館
- Year and Date
  2008-03-20
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Gorenstein quotient isolated sigularities of odd prime dimension are cyclic2008
- Author(s)
  K. Kurano
- Organizer
  COMMUTATIVE ALGEBRA AND ITS INTERACTION WITH ALGEBRAIC GEOMETRY
- Place of Presentation
  C.I.R.M. Luminy (France)
- Year and Date
  2008-10-03
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Intersection muhphcity の代数的記述について2007
- Author(s)
  藏野和彦
- Organizer
  第52回代数学シンポジウム
- Place of Presentation
  神戸大学
- Year and Date
  2007-08-09
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A local ring such that the map between Grothendieck group with rational coefficients induced by completion is not injective2007
- Author(s)
  K. Kurano
- Organizer
  The 3rd Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  Institute of Mathematics, Hanoi, Vietnam
- Year and Date
  2007-12-05
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Symbolic Rees rings of space monomial curves in characteristic p and existence of negative curves in characteristic 02007
- Author(s)
  藏野和彦
- Organizer
  第29回可換環論シンポジウム
- Place of Presentation
  愛知厚生年金会館ウェルシティなごや
- Year and Date
  2007-11-21
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] An example of a local ring R such that.G_0(R)_Q->G_0(R^)_Q is not inject.ive2007
- Author(s)
  藏野和彦
- Organizer
  Gommutative Algebra and its Interaction with Alebraic Geometry
- Place of Presentation
  BIRS,カナダ
- Year and Date
  2007-06-14
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Intersection multiplicity の代数的記述について2007
- Author(s)
  藏野和彦
- Organizer
  第52回代数学シンポジウム
- Place of Presentation
  神戸大学
- Year and Date
  2007-08-09
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Symbolic Rees rings of space monomial curves in characteristic p and existence of negative curves in characteristic 02007
- Author(s)
  藏野和彦
- Organizer
  第29回可換環論シンポジウム
- Place of Presentation
  名古屋市
- Year and Date
  2007-11-21
- Data Source
  KAKENHI-PROJECT-18540025
[Presentation] A local suchthat the map between Grothendieck groupwith rational coeffcients induced by completion is not injective2007
- Author(s)
  藏野和彦
- Organizer
  The 3rd Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  Institute of Mathematics,Hanoi,Vietnam
- Year and Date
  2007-12-05
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] An example of a local ring R such that G_0(R)_Q-> G_0(R^)_Q is not injective2007
- Author(s)
  K. Kurano
- Organizer
  Commutative Algebra and its Interaction with Algebraic Geometry
- Place of Presentation
  BIRS (Banff International Research Station), カナダ
- Year and Date
  2007-06-14
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Intersection multiplicityの代数的な記述について2007
- Author(s)
  藏野和彦
- Organizer
  第2回代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島大学理学部
- Year and Date
  2007-02-19
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Symbolic Rees環(ある正規射影局面の全座標環)の有限生成性-MATLABを使った計算実験-2007
- Author(s)
  藏野和彦
- Organizer
  計算可換代数と計算代数幾何
- Place of Presentation
  数理解析研究所
- Year and Date
  2007-01-18
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Symbolic Rees rings of space monomial curves in characteristic $p$ and existence of neaeive curves in eharacteristic $0$2007
- Author(s)
  藏野和彦
- Organizer
  第29回可換環論シンポジウム
- Place of Presentation
  愛知厚生年金会館ウェルシティなごや
- Year and Date
  2007-11-21
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] On the algebraic description of intersection multiplicity due to Serre2006
- Author(s)
  藏野和彦
- Organizer
  第二回モチーフ勉強会
- Place of Presentation
  東大数理
- Year and Date
  2006-09-29
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] An example of a local ring A such that the kernel of the map from {\rm G}_0(A)to {\rm G}_0(\hat{A})is not torsion2006
- Author(s)
  藏野和彦
- Organizer
  第28回可換環論シンポジウム
- Place of Presentation
  ウェルサンピア多摩
- Year and Date
  2006-11-16
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Numerical equivalence and the vanishing conjecture2006
- Author(s)
  K. Kurano
- Organizer
  Homological Conjectures in Commutative Algebra, A Conference in Honor of Paul Roberts' 60th Birthday
- Place of Presentation
  Snowbird, Utah アメリカ合衆国
- Year and Date
  2006-05-19
- Data Source
  KAKENHI-PROJECT-18540052

1. NAKAMURA Ken (80110849)

# of Collaborated Projects: 10 results

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2. URABE Tohsuke (70145655)

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3. YOSHIDA Ken-ichi (80240802)

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4. MIAYCHI Jun-ichi (50209920)

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5. MIYAKE Katsuya (20023632)

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6. HASHIMOTO Mitsuyasu (10208465)

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7. KAMOI Yuji (80308064)

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8. WATANABE Keichi (10087083)

# of Collaborated Projects: 4 results

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9. TREAO Hiroaki (90119058)

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10. TOKUHIRO Yoshimi (00014811)

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11. KAWASAKI Takesi (40301410)

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12. KURIHARA Masato (40211221)

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13. NISHIDA Koji (60228187)

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14. 遠藤静男 (80087014)

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15. 笹倉頌夫 (20087026)

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16. 寺杣友秀 (50192654)

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17. NAKAMURA Iku (50022687)

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18. HAYASAKA Futoshi (20409460)

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19. TOMARI Masataka (60183878)

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20. FUKUDA Takuo (00009599)

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21. TAKAGI Shunsuke (40380670)

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22. TAKEDA Yuichiro (30264584)

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23. OKA Mutsuo (40011697)

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24. GOTO Shiro (50060091)

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26. MORI Shigefumi (00093328)

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33. OKADA Soichi (20224016)

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34. HAYASHI Takahiro (60208618)

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35. MIYAZAKI Mitsuhiro (90219767)

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36. NAKAMURA Hiroaki (60217883)

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38. HARA Nobuo (90298167)

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KURANO Kazuhiko 蔵野 和彦

蔵野 和彦 クラノ カズヒコ

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On finite generation of symbolic Rees ringsPrincipal Investigator

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On finite generation of symbolic Rees rings of defining ideals of space monomial curvesPrincipal Investigator

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Cohen-Macaulay cone and its applicationPrincipal Investigator

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An algebraic approach to Nagata conjecturePrincipal Investigator

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Study of local rings with discrete class group and its Picard numberPrincipal Investigator

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KURANO Kazuhiko 蔵野和彦

蔵野和彦クラノカズヒコ