KURANO Kazuhiko 蔵野和彦

… Alternative Names

Researcher Number	90205188 … More / 90205122 Less
Other IDs
External Links
Affiliation (Current)	2019: 明治大学, 理工学部, 専任教授
Affiliation (based on the past Project Information) *help	2016 – 2019: 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 因子類群 / 数値的同値 / チャウ群 / 局所環 / リーマン・ロッホ / Cox環 / 永田予想 / Cox 環 / グロタンディェク群 / ヒルベルト・クンツ関数 … More Except Principal Investigator 可換環論 / 重複度 / 導来圏 / 特異点 / tight closure / Grothendieck群 / F-threshold / Cohen-Macaulay ring / 正準加群 / Chain complex / F-pure / Chow群 / 代数学 / Iwasawa theory / 岩澤理論 / Buchsbaum ring / Frobenius写像 / 代数幾何学 / Rees代数 / 鎖複体 / 可換環 / 不変式環 / Derived category / 有理特異点 / 岩澤主予想 / Cohen-Macaulay環 / 環論 / multiplier ideal / Gorenstein環 / lc threshold / 整閉イデアル / Dutta multiplicity / 局所コホモロジー / 不変部分体 / Recollement / Hilbert-Kunz multiplicity / 記号的リース代数 / F-rational ring / jumping number / シンボリックリース代数 / a-invariant / 記号的べき乗 / メイリングリスト / recollement / 次数付環 / ソフト / 作用 / Rees algebra / 乗法的作用 / Zariski pair / ideal class group / アルゴリズム / Gorenstein / 整数論 / Frobenius多元環 / index of reducibility / 次数付き環 / 完全環 / シンボリックリース環 / 乗数イデアル / Cox環 / ホモトピー圏 / 不変式論 / 整閉包 / 多項式環 / Frobenius endomorphism / 楕円曲線 / 因子類群 / 代数群 / Buchsbaum環 / elliptic curve / 特異点論 / Tilting complex / F-pure threshold / Grothendieck group / Hilbert-Kunz重複度 / 三角圏 / 正則局所環 / イデアル類群 / 有限群 / F-regular ring / コンピュータ / multiplicity / log terminal singularity / totally reflexive module / ネットワーク / TNT / データ / 良いフィルター付け / 森田同値 / jet scheme / 傾斜鎖複体 / 対称多元環 / generalized Grassmannian algebra / elliptic surface / Blow-up代数 / 射影平面 / シンボリック Rees 環 / テイトーシャファレビッチ群 / Rees algebra of ideals / 傾斜対象 / Fiber sum / 代数曲面 / Derived Picard group / Serre functor / 計算機代数 / 加群のリース代数 / グリーンバーグ予想 / ヒルベルトの第14問題 / 優良イデアル / イデアル / subadditivity / Singularities / ティトーシャファレビッチ群 / スキーム / Graded Ring / 符号理論 / Enriques曲面 / 同変全商環 / 傾斜加群 / 岩澤加群 / Quasi-Frobenius extension / 加群のリース環 / integral closure / 特異点の解消 / action / アウスランダー条件 / F-有理環 / フロベニウス射 / ホモロジー / regular ring / ネーター環 / excellent ring / F-正則対 / コクセタ-群 / Auslander-Gorenstein環 / 全座標環 / G局所スキーム / Linear representaion / Grassmanian / duality / 不変式 / Hamiltonian / Iwasawa main conjecture / FLC局所環 / Galois cover / 群環 / rational singularity / Grothendieck groups / quiver / 最大アーベル拡大 / Schubert多様体 / エクセレント環 / K3曲面 / 標数p>0の手法 / 超平面配置 / Multiplicity / Iwasawa module / hypergeometric integral / Noether局所環 / シンボリック冪 / symbolic power / geometric quotient / 上三角行列環 / 非有界鎖複体 / ネーター局所環 / Hilbert概型 / Chow環 / thight closure / 高次元双有理幾何学 / 遺伝多元環 / system of parameters / Hom概型 / 線型表現 / モノドロミー / Unbounded derived category / 半有理体 / t-structure / F-pure ring / 商特異点 / local cohomology / Kummer曲面 / a 不変量 / (2,3)torus曲線 / Frobenius algebras / G局所Gスキーム / Q-ゴーレンシュタイン環 / セルマ-群 / Derived Picard groups / dualzing complex / G中山の補題 / Roberts ring / 単純加群 / G準素イデアル / ヒルベルト・クンツ関数 / 入射加群 / 非有界導来圏 / 純 / 小行列式 / Cohen-Macaulay化 / Schubert variety / maximal minors / 鏡映群 / 一意分解整域 / 正標数の手法 / 斉次座標環 / 双対鎖複体 / (2, 3) torus curves / 導来ピカール群 / 素元分解環 / Picard groups / Seifelt手術 / 幾何学的商 / Hilbert-Kunz 重複度 / 大域的F正則性 / compact object / Symmetric algebra / 整数表現 / 局所系コホモロジー / Homology / homological dimension / local system cohomology / 森田双対理論 / 交点数 / 代数幾何 / test ideal / torsion theory / Bass数 / reflection group / 超幾何積分 / Local Ring / 次数環 / FLC ring / Iwanaga-Gorenstein環 / coefficient ideal / Cohen-Macaulay局所環 / G局所双対性 / tilting複体 / ファノ多様体 / F-signature / アルティン環 / 巴系イデアルのsocle / Greenberg conjecture / シチジー理論 / lattices / 局所コホモロジー加群 / スーパーシンギュラー還元 / Hilbert-Kunz function / Fittingイデアル / Wu's formula / 安定圏 / 平坦次元 / 閉包操作 / ゴーレンシュタイン環 / 次数付主環 / global F-regularity / totally reflexive加群 / 同変局所コホモロジー / Picard群 / Noetheian algebra / jumping coefficient / 特異点解消 / hyperplane arrangement / 捻じれ逆像 / Chow groups / F-pure rings / 量子 / Rees環 / Chow group / 捻れ逆像 / F-rational / 線型的作用 / Commutative algebra / フェアリンデ公式 / Stickelbergerイデアル / 一般化された test ideal / 双対比複体 / Steenrud squaring operator / Injective module / 双対性 / UFD / フロベニウス多元環 / symbolic Rees algebra / Fitting ideal / dual curves / graded ring / 導来Picard群 / 簡約群 / レベル階数双対性 / Hibi 環 / Cousin複体 / quasi-Frobenius拡大 / G整域 / terminal singularity / 亜主束 / cousin複体 / 有理関数体 / 半群環 / 随伴次数環 / グラスマン多様体 / Seshadri constant / 標準因子 / Rees algebra of modules / スーパーシンギュラーリダクション / 密着閉包 / Perfect ring / Matlis双対性 / 岩澤不変量 / regular local ring / Brill-Noether理論 / フィルトレーション / 標準加群 / Hereditary algebras / 完全鎖複体 / log resolution / ヒルベルト概型 / Hilbertの第14問題 / stable t-structure / Blow-up algebra / Auslander condition / 準フロベニウス環拡大 / blow-up / supersingular reduction / 代数的ベクトル束 / グレブナー基底 / G素イデアル / 自己三角同値群 / Matijevic-Roberts型定理 / 双対化複体 / Chern character / 加群圏 / 線型簡約群 / N鎖複体 / 極小自由分解 / Cox 環 / 格子 / 有限型 / Tate-Shafarevich group / Morita duality theory / 擬関手 / Calabi-Yau三角圏 / 射影次元 / intersection multiplicity / 安定同値 / Cousin complex / テイトシャファレビッチ群 / スタンダード・パラメーター系 / 強F正則性 / socle / 局所環 / Frobenius 写像 / maximal abelian extension / 鏡映 / Verlinde公式 / functorially finite部分圏 / Buchsbaum局所環 / Hasse principle / 有理体 / Noether環 / 多様体 / モジュライ / エンリケス曲面 / 入射次元 / blowing up / Brauer group / シンボリックパワー / blowing-up / 導来Picarrd群 / Cohen-Macaulay型 / Cohen-Macaulay加群 / アーベル圏 / classical generators / Gorenstein ring / 自己入射的多元環 / ホモロジー代数 / Galois被覆 / コーエン・マコーレー加群 / 双対曲線 / 楕円曲面 / ハミルトニアン / Auslander-Gorenstein ring / コンパクト対象 / Galois 理論 Less

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Ongoing
- 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 InvestigatorOngoing
- 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
コーエン・マコーレー錐とその応用Principal InvestigatorOngoing
- Principal Investigator
  
  蔵野和彦
- 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 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] 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
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- 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
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- 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
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- 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
- Acknowledgement Compliant / Peer Reviewed
- 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
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440015
[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] 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] 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] 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
- Acknowledgement Compliant / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04828
[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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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)
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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] 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

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71. 森脇淳 (70191062)

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72. 吉田敬之 (40108973)

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73. 諏訪立雄 (40109418)

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74. 泉屋周一 (80127422)

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75. 齋藤恭司 (20012445)

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76. 廣川真男 (70282788)

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77. 宮崎琢也 (10301409)

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78. 鈴木正彦 (00171249)

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79. 日比孝之 (80181113)

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80. KUME Hirofumi

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81. ISOBE Ryotaro

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82. KUMASHIRO Shinya

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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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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Ongoing

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

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コーエン・マコーレー錐とその応用Principal InvestigatorOngoing

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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