MIAYCHI Jun-ichi 宮地淳一

… Alternative Names

宮地淳一ミヤチジュンイチ

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Researcher Number	50209920
Other IDs
Affiliation (Current)	2025: 東京学芸大学, 教育学部, 特任教授(Ⅰ種)
Affiliation (based on the past Project Information) *help	2004 – 2012: 東京学芸大学, 教育学部, 教授 1997 – 2004: 東京学芸大学, 教育学部, 助教授 1995: 東京学芸大学, 教育学部, 助教授 1990 – 1993: 東京学芸大学, 教育学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / 解析学 / Algebra / 代数学・幾何学
Keywords	Principal Investigator 導来圏 / Grothendieck群 / 鎖複体 / Chain complex / Derived category / Dutta multiplicity / Gorenstein / Grothendieck group / Tilting complex / Frobenius多元環 … More / Chow群 / recollement / 完全環 / Recollement / ホモトピー圏 / 三角圏 / 環論 / Hilbert-Kunz function / Chow group / Derived Picard group / Auslander condition / Unbounded derived category / Chow環 / maximal minors / classical generators / アーベル圏 / Q-ゴーレンシュタイン環 / フロベニウス射 / 標準加群 / 単純加群 / アルティン環 / 非有界鎖複体 / 自己三角同値群 / 傾斜対象 / 傾斜加群 / 平坦次元 / ゴーレンシュタイン環 / ヒルベルト・クンツ関数 / 導来ピカール群 / 傾斜鎖複体 / アウスランダー条件 / 非有界導来圏 / Quasi-Frobenius extension / Grassmanian / Symmetric algebra / ネーター局所環 / tilting複体 / socle / 準フロベニウス環拡大 / 自己入射的多元環 / 斉次座標環 / 因子類群 / 群環 / quasi-Frobenius拡大 / グラスマン多様体 / 対称多元環 / Frobenius algebras / Chow groups / Grothendieck groups / Hereditary algebras / Derived Picard groups / Picard groups / Roberts ring / intersection multiplicity / compact object / torsion theory / t-structure / 導来Picarrd群 / 遺伝多元環 / 導来Picard群 / Picard群 / Hamiltonian / Perfect ring / Injective module / Auslander-Gorenstein ring / Morita duality theory / 量子 / blow-up / Cohen-Macaulay環 / 双対鎖複体 / Chern character / ハミルトニアン / 入射加群 / Auslander-Gorenstein環 / 森田双対理論 / 射影平面 / Seshadri constant / Calabi-Yau三角圏 / functorially finite部分圏 / Serre functor / stable t-structure / 標準因子 / Cox環 / Cohen-Macaulay加群 / Iwanaga-Gorenstein環 / 特異点 / 多項式環 / 次数環 / 上三角行列環 / N鎖複体 / 安定同値 / 森田同値 / 加群圏 / フロベニウス多元環 / コンパクト対象 / 多様体 / graded ring / 安定圏 / コーエン・マコーレー加群 / ネーター環 / 完全鎖複体 / 導来カテゴリー / 環 … More Except Principal Investigator フロベニウス拡大 / 極大商環 / 準フロベニウス拡大 / 加群 / 位相群 / Grothendieck Group / Gorenstein Tiledorder / Auslander Formula / Selfinjective Algebra / Tiltinr Complex / Derived Equivalence / Derived Category / ゴレンシュタイン多元環 / 部分的傾斜鎖複体 / トーション理論 / グロタンディック群 / ゴレンシュタインタイル整環 / アウスランダー公式 / 自己入射的多元環 / 傾斜鎖複体 / 導来同値 / 導来圏 / full linear ring / module / maximal quotient ring / noetherian ring / artinian ring / quashi Frobenius eytension / 入射的加群 / 環拡大 / 斜体 / 商環 / 射影的次元 / カテゴリー / 全線形環 / ネーター環 / アルチン環 / tilting complex / FPF環 / 商カテゴリー / 環 / リコールマンの手法 / ベクトル場 / 巾空間 / 連続体 / ボレル / 正則関数 / ノルム空間 / CWー複体 / symmetric space(シンメトリック空間) / 距離空間 / 凸領域 / 正則写像 / 標準領域 / 線形位相空間 Less

Study of subcategories of triangulated categories and derived equivalences of algebrasPrincipal Investigator
- 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
Study of perfect complexes over algebras and derived equivalencesPrincipal Investigator
- 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
Study of Derived Equivalences
- Principal Investigator
  
  HOSHINO Mitsuo
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study of perfect complexes over algebras and their propertiesPrincipal Investigator
- 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 Derived Categories and Chain complexesPrincipal Investigator
- 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
Study of Invariant on Derived Categories over AlgebrasPrincipal Investigator
- 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
Ring extensions and quotient rings
- Principal Investigator
  
  YOSHIMI Tokuhiro
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO GAKUGEI UNIVERSITY
Study on Representations of Algebras and Derived CategoriesPrincipal Investigator
- 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
多元環上の表現の研究Principal Investigator
- Principal Investigator
  
  宮地淳一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University
環と加群の理論
- Principal Investigator
  
  徳弘好
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University
連続体及び連続写像の研究
- Principal Investigator
  
  細川洋
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Gakugei University
集合と関数による位相数学の研究
- Principal Investigator
  
  田中祥雄
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Gakugei University
線形位相空間内の標準領域について
- Principal Investigator
  
  窪田佳尚
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Gakugei University

All 2011 2010 2009 2007 2006 Other

All Journal Article Presentation

[Journal Article] Recollement of homotopy categories and Cohen-Macaulay modules2011
- Author(s)
  Jun-ichi Miyachi
- Journal Title
  
  Journal of K-Theory
  
  Volume: 8 Pages: 507-542
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540042
[Journal Article] Compact objects in stable module categories2007
- Author(s)
  Jun-ichi Miyachi
- Journal Title
  
  Arch. Math 89
  
  Pages: 47-51
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540013
[Journal Article] The Auslander condition and homological dimension of modules2006
- Author(s)
  Jun^ichi Miyachi
- Journal Title
  
  Bull.Tokyo Gakugei Univ. 58
  
  Pages: 1-5
- NAID
  110006414956
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] The Auslander condition and homological dimension of modules2006
- Author(s)
  Jun-ichi Miyachi
- Journal Title
  
  Bulletin of Tokyo Gakugei University, Natural Sciences 58
  
  Pages: 1-5
- NAID
  110006414956
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] Grothendieck groups of unbounded complexes of finitely generated modules2006
- Author(s)
  J-I.Miyachi
- Journal Title
  
  Archiv der Mathematik 86(4)
  
  Pages: 317-320
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540009
[Journal Article] The Auslander condition and homological dimension of modules2006
- Author(s)
  Jun-ihci Miyachi
- Journal Title
  
  Bull. Tokyo Gakugei Univ. 58
  
  Pages: 1-5
- NAID
  110006414956
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] Grothendieck groups of unbounded complexes of finitely generated modules2006
- Author(s)
  Jun-ichi Miyachi
- Journal Title
  
  Arch.Math. 86
  
  Pages: 317-320
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] Grothendieck groups of unbounded complexes of finitely generated modules2006
- Author(s)
  Jun-ihci Miyachi
- Journal Title
  
  Arch. Math. 86
  
  Pages: 317-320
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540012
[Journal Article] Grothendieck groups of unbounded complexes of finitely generated modules
- Author(s)
  Jun-ichi Miyachi
- Journal Title
  
  Archiv der Mathematik (to appear)
- Data Source
  KAKENHI-PROJECT-16540012
[Presentation] Subcategories of triangulated categories and localization2010
- Author(s)
  宮地淳一
- Organizer
  RIMS研究集会「空間の代数的・幾何的モデルとその周辺」
- Place of Presentation
  京都大学(京都市)
- Year and Date
  2010-06-27
- Data Source
  KAKENHI-PROJECT-22540042
[Presentation] Recollement of homotopy category and Cohen-Macaulay modules2010
- Author(s)
  Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi
- Organizer
  XIV International Conference on Representations of Algebras and Workshop (ICRA XIV)
- Place of Presentation
  National Olympics Memorial Youth Center, Tokyo,Japan
- Year and Date
  2010-08-12
- Data Source
  KAKENHI-PROJECT-22540042
[Presentation] Brown representability and localization of homotopy categories2009
- Author(s)
  Jun-ichi Miyachi
- Organizer
  Kyoto RIMS Workshop Algebraic Triangulated Categories andRelated Topics
- Place of Presentation
  京都大学
- Year and Date
  2009-07-23
- Data Source
  KAKENHI-PROJECT-19540013
[Presentation] Polygons of recollement2009
- Author(s)
  宮地淳一
- Organizer
  Kyoto RIMS Workshop Noncommutative Algebraic Geometry and Related Topics
- Place of Presentation
  京都大学(京都市)
- Year and Date
  2009-08-27
- Data Source
  KAKENHI-PROJECT-19540013
[Presentation] Polygons of recollement2009
- Author(s)
  Jun-ichi Miyachi
- Organizer
  Kyoto RIMS workshop Noncommutative Algebraic Geometry and Related Topics
- Place of Presentation
  京都大学
- Year and Date
  2009-08-27
- Data Source
  KAKENHI-PROJECT-19540013
[Presentation] Brown representability and localization of homotopy categories2009
- Author(s)
  宮地淳一
- Organizer
  Kyoto RIMS Workshop Algebraic Triangulated Categories and Related Topics
- Place of Presentation
  京都大学(京都市)
- Year and Date
  2009-07-23
- Data Source
  KAKENHI-PROJECT-19540013
[Presentation] Recollement of homotopy categories and stable categories2007
- Author(s)
  Jun-ichi Miyachi
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  金沢市観光会館
- Year and Date
  2007-11-14
- Data Source
  KAKENHI-PROJECT-19540013

1. TOKUHIRO Yoshimi (00014811)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. KURANO Kazuhiko (90205188)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. TANAKA Yoshio (90014810)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. SEKIZAWA Masami (80014835)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. MASAIKE Kanzo (40015798)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. 竹内伸子 (70216852)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. IKEDA Yoshito (70014834)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. 窪田佳尚 (30014715)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. HOSHINO Mitsuo (90181495)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 山田陽 (60126331)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 細川洋 (50015575)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 溝口紀子 (00251570)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 廣川真男 (70282788)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. FUJITA Hisaaki (60143161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MIAYCHI Jun-ichi 宮地 淳一

宮地 淳一 ミヤチ ジュンイチ

Research Projects

Research Products

Co-Researchers

Study of subcategories of triangulated categories and derived equivalences of algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of perfect complexes over algebras and derived equivalencesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Derived Equivalences

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of perfect complexes over algebras and their propertiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Derived Categories and Chain complexesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Invariant on Derived Categories over AlgebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Ring extensions and quotient rings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on Representations of Algebras and Derived CategoriesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

多元環上の表現の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

環と加群の理論

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

連続体及び連続写像の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

集合と関数による位相数学の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

線形位相空間内の標準領域について

Principal Investigator

Project Period (FY)

MIAYCHI Jun-ichi 宮地淳一

宮地淳一ミヤチジュンイチ