Tomaru Tadashi 都丸正

… Alternative Names

TOMARU Tadashi 都丸正

都丸正トマルタダシ

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Researcher Number	70132579
Other IDs
Affiliation (Current)	2023: 群馬大学, その他部局等, 名誉教授
Affiliation (based on the past Project Information) *help	2016: 群馬大学, 名誉教授 2011 – 2015: 群馬大学, 保健学研究科, 教授 2013 – 2014: 群馬大学, 医学部, 教授 1998 – 2010: 群馬大学, 医学部, 教授 1995 – 1996: 群馬大学, 医療技術短期大学部, 教授
Review Section/Research Field	Principal Investigator Geometry / Geometry / Algebra Except Principal Investigator Geometry / Algebra / Algebra
Keywords	Principal Investigator 特異点 / 基本サイクル / Pencil種数 / pencil genus / 基本種数 / singularity / Kodaira特異点 / Kodaira singularity / 正規特異点 / Yau系列 … More / 極大イデアルサイクル / 複素二次元特異点 / リーマン面の退化族 / 複素2次元特異点 / 幾何種数 / 代数曲線の退化族 / 巡回被覆特異点 / 楕円系列 / 正規2重点 / 閉リーマン面の退化 / C-作用をもつ退化族 / 閉リーマン面 / C-退化族 / 閉リーマン面の退化族 / 特異点解消空間 / 擬斉次特異点 / Kummer被覆特異点 / 複素乗法群作用特異点 / 曲線の退化 / quasi-Kodaira特異点 / 有限巡回被覆 / degeneration / curve / geometric genus / 複素解析空間 / 巡回被覆 / Kulikov特異点 / 二次元特異点 / complex analytic space / normal singularity / degenerate family of algebraic curves / fundamental cycle / cyclic covering / Kulikov singularity / 代数曲線退化族 / 二 / Pencil特異点 / families of compact algebraic curve / Riemann面の退化族 / C^-作用を持つ特異点 / C^-作用を持つ退化族 / 有理3重点 / 閉Riemann面 / 閉Riemann面の退化族 / 複素乗法群 / 局所モノドロミー群 / Milnorモノドロミー群 / degeneration of Riemann surfaces / singularity with C^-action / degeneration with C^-action / rational triple point … More Except Principal Investigator jet scheme / arc space / 2次元特異点 / 幾何種数 / singularities / 特異点 / 弧空間 / ジェットスキーム / singularity / 重複度 / graded ring / 2次元正規特異点 / good ideal / geometric genus / 群環 / 表現 / 指標 / ブロック / 正規部分群 / 不足群 / 双有理幾何学 / ジェット空間 / lc-threshold / integrally closed ideal / log-canonical threshold / integnally closedjlul / splice-quotient特異点 / 埋め込み次元 / アーベル被覆 / 有理ホモロジー球面 / 極小対数的食い違い数 / 食い違い数 / discrepancy / Frobenius 射 / rational singularity / log-canonical singularity / multiplier ideal / 擬斉次特異点 / ２次元特異点 / jet scjeme / moduli space / toric variety / integral closed / complete intersection / multipier ideal / plurigenera / moduli spase / 有理型特異点 Less

A study of complex surface singularities with rational homology sphere link
- Principal Investigator
  
  Okuma Tomohiro
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamagata University
Research of normal surface singularities related to degeneration families of compact Riemann surfaces.Principal Investigator
- Principal Investigator
  
  Tomaru Tadashi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Gunma University
A study of complex surface singularities whose link is a rational homology sphere
- Principal Investigator
  
  OKUMA Tomohiro
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamagata University
Singularities on algebraic varieties
- Principal Investigator
  
  ISHII Shihoko
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
A study of complex surface singularities with rational homology sphere links
- Principal Investigator
  
  OKUMA Tomohiro
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamagata University
On some relations between complex surface singularities of some types and degeneration families of compact Riemann surfaces.Principal Investigator
- Principal Investigator
  
  TOMARU Tadashi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Gunma University
Research on the singularities of a variety
- Principal Investigator
  
  ISHII Shihoko
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
The research of 2-dimensional complex singularities associated to degenerations of closed Riemann surfacesPrincipal Investigator
- Principal Investigator
  
  TOMARU Tadashi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Gunma University
Research on singularities of a variety
- Principal Investigator
  
  ISHII Shihoko
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
On Pencil genus for normal surface singularities (II)Principal Investigator
- Principal Investigator
  
  TOMARU Tadashi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Gunma University
On pencil genus of 2-dimensional singularitiesPrincipal Investigator
- Principal Investigator
  
  TOMARU Tadashi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Gunma University
Research of Quasi-Kodaira singularitiesPrincipal Investigator
- Principal Investigator
  
  TOMARU Tadashi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Gunma University
二次元楕円型特異点の楕円系列についてPrincipal Investigator
- Principal Investigator
  
  都丸正
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
群環の表現論
- Principal Investigator
  
  福島博
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University

All 2016 2015 2014 2010 2009 2008 2007 2006 2005 Other

All Journal Article Presentation

[Journal Article] Normal C*-surface singularities whose　maximal ideacycles2015
- Author(s)
  都丸正
- Journal Title
  
  Ann. Gunma Health Sci.(群馬保健学紀要）
  
  Volume: 36 Pages: 1-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400064
[Journal Article] The maximal ideal cycles over normal surface singularities with C*-action2015
- Author(s)
  泊昌孝、都丸正
- Journal Title
  
  Tohoku Math. Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400064
[Journal Article] Complex surface singularities and degenerations of compact complex curves2010
- Author(s)
  T.Tomaru
- Journal Title
  
  Demonstratio Mathematica
  
  Volume: 43(2) Pages: 39-59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340004
[Journal Article] Complex surface singularities and degenerations of compact complex curves2010
- Author(s)
  T.Tomaru
- Journal Title
  
  Demonstratio Mathematica 43(2)
  
  Pages: 39-59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340004
[Journal Article] Complex surface singularities and degenerations of compact complex curves2010
- Author(s)
  T.Tomaru
- Journal Title
  
  Demonstratio Mathematica
  
  Volume: 43(2) Pages: 39-59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340004
[Journal Article] Complex surface singularities and degenerations of compact complex curves.2010
- Author(s)
  Tadashi Tomaru
- Journal Title
  
  Demonstratio Math. 43(1)(In Press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540062
[Journal Article] Complex surface singularities and degenerations of compact complex curves.2010
- Author(s)
  Tomaru Tadasi
- Journal Title
  
  Demonstratio Mathematica 42(2)
  
  Pages: 39-59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540062
[Journal Article] Complex surface singularities and degenerations of compact complex curves2010
- Author(s)
  Tadashi Tomaru
- Journal Title
  
  Demonstratio Mathematica
  
  Volume: 42(2) Pages: 39-59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540062
[Journal Article] Complex surface singularities and degenerations of compact complex curves2009
- Author(s)
  Tadashi Tomaru
- Journal Title
  
  Demonstratio Math (In Press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340004
[Journal Article] Complex surface singularities and degenerations of compact complex curves2009
- Author(s)
  Tadashi Tomaru
- Journal Title
  
  Demonstratio Math. (In Press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540062
[Journal Article] Pencil genus for normal surface singularities2007
- Author(s)
  T.Tomaru
- Journal Title
  
  J.Math.Soc.Japan 59(1)
  
  Pages: 35-80
- NAID
  10019540487
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340004
[Journal Article] 代数曲線のC^*-作用をもつ退化族と2次元擬斉次特異点2006
- Author(s)
  T.Tomaru
- Journal Title
  
  第2回トポロジー・代数幾何玉原セミナー報告集
  
  Pages: 1-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340004
[Journal Article] On some classes of weakly Kodaira singularities2005
- Author(s)
  都丸正
- Journal Title
  
  Seminaires & Congres 10
  
  Pages: 323-340
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540052
[Journal Article] On some classes of weakly Kodaira singularities2005
- Author(s)
  都丸正
- Journal Title
  
  Sem. & Gongres 10
  
  Pages: 323-340
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] On some classes of weakly Kodaira singularities,3402005
- Author(s)
  T.Tomaru
- Journal Title
  
  Singularites Franco-Japonaises
  
  Pages: 323-323
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] On some classification of weakly Kodaira singularities2005
- Author(s)
  T.Tomaru
- Journal Title
  
  Seminaires & Congres 10
  
  Pages: 323-340
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540052
[Journal Article] On so (Societe Mathmatique deme classes of weakly Kodaira singularities
- Author(s)
  都丸正
- Journal Title
  
  Proceedings of the Franco-Japanese Luminy Conference of singularities(in France) (印刷中)
- Data Source
  KAKENHI-PROJECT-16540052
[Journal Article] Pencil genus for normal surface singularities
- Author(s)
  都丸正
- Journal Title
  
  J. Math. Soc. Japan (印刷中)
- NAID
  10019540487
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540052
[Journal Article] Complex surface singularities and degenerations of compact complex curves
- Author(s)
  Tadashi Tomaru
- Journal Title
  
  Demonstratio Math (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340004
[Journal Article] Pencil genus for normal surface singularities
- Author(s)
  T.Tomaru
- Journal Title
  
  J.Math.Soc.Japan (to appear)
- NAID
  10019540487
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540052
[Presentation] 特異点列{z^n=f(x,y) | n=2,3,・・・}の考察、2016
- Author(s)
  都丸正
- Organizer
  代数幾何学ミニワークショップ
- Place of Presentation
  東京大学数理科学研究科、
- Year and Date
  2016-03-22
- Invited
- Data Source
  KAKENHI-PROJECT-25400064
[Presentation] 有理曲線を中心曲線とする 2 次元次数付き特異点の極大イデアルサイクルについて2016
- Author(s)
  泊昌孝、都丸正
- Organizer
  日本数学会春期学会関数論分科会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-17
- Data Source
  KAKENHI-PROJECT-25400064
[Presentation] Maximal ideal cycles for normal surface singularities2016
- Author(s)
  都丸正
- Organizer
  第3回代数幾何学研究集会－宇部ー
- Place of Presentation
  宇部高専
- Year and Date
  2016-01-10
- Invited
- Data Source
  KAKENHI-PROJECT-25400064
[Presentation] 2次元擬斉次特異点の極大イデアルサイクルについて2015
- Author(s)
  都丸正
- Organizer
  特異点と多様体の幾何学シンポジウム
- Place of Presentation
  草津セミナーハウス（群馬県）
- Year and Date
  2015-09-24
- Data Source
  KAKENHI-PROJECT-25400064
[Presentation] C*-作用をもつ複素2次元特異点の極大イデアルサイクルについて2015
- Author(s)
  都丸正
- Organizer
  特異点と多様体の幾何学 Ⅳ（草津）
- Place of Presentation
  草津セミナーハウス
- Year and Date
  2015-09-20
- Invited
- Data Source
  KAKENHI-PROJECT-25400064
[Presentation] Maximal ideal cycles for normal surface singularities with ${\Bbb C}^*$-action.2015
- Author(s)
  都丸正
- Organizer
  International Conference on Singularity Theory----in Honor of Henry Laufer's 70th Birthday
- Place of Presentation
  中国海南島Tsinghua Sanya International Mathematics Forum
- Year and Date
  2015-12-20
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400064
[Presentation] 2次元次数付き特異点、および星形特異点の極大イデアルサイクルと基本サイクルについて2014
- Author(s)
  泊昌孝、都丸正
- Organizer
  日本数学会秋期年会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-25400064
[Presentation] Degenerations of compact complex curves and their cyclic coverings.2010
- Author(s)
  都丸正
- Organizer
  Singularities in Aarhus'
- Place of Presentation
  デンマーク・オーフス市オーフス大学
- Year and Date
  2010-08-19
- Data Source
  KAKENHI-PROJECT-20540062
[Presentation] C^*-degenerations of compact complex curves and cyclic covers of normal C^*-surface singularities2009
- Author(s)
  T.Tomaru
- Organizer
  Singularities in Aarhus
- Place of Presentation
  Aarhus, Denmark
- Year and Date
  2009-08-20
- Data Source
  KAKENHI-PROJECT-18340004
[Presentation] C*-degenerations of compact complex curves and cyclic covers of normal C*-surface singularities2009
- Author(s)
  T.Tomaru
- Organizer
  Singularities in Aarhus
- Place of Presentation
  Aarhus, Denmark
- Year and Date
  2009-08-20
- Data Source
  KAKENHI-PROJECT-18340004
[Presentation] 講演タイトル:リーマン面のC*作用付きの退化族とC*作用付き二次元特異点について2009
- Author(s)
  都丸正
- Organizer
  多変数関数論冬セミナー
- Place of Presentation
  熊本大学理学部
- Year and Date
  2009-12-20
- Data Source
  KAKENHI-PROJECT-20540062
[Presentation] 複素2次元特異点と閉リーマン面の退化族について2008
- Author(s)
  都丸正
- Organizer
  日本数学会総合分科会関数論部会特別講演
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-18340004
[Presentation] C*-作用をもつリーマン面の退化族とC*-作用をもつ2次元特異点2008
- Author(s)
  T.Tomaru
- Organizer
  多変数函数論冬セミナー
- Place of Presentation
  熊本大学理学部
- Year and Date
  2008-12-24
- Data Source
  KAKENHI-PROJECT-18340004
[Presentation] 複素2次元特異点と閉リーマン面の退化族について2008
- Author(s)
  T.Tomaru
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-24
- Data Source
  KAKENHI-PROJECT-18340004
[Presentation] C*-作用をもつリーマン面の退化族とC*-作用をもつ2次元特異点2007
- Author(s)
  T.Tomaru
- Organizer
  日本数学会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-18340004
[Presentation] C*-Pencil of curves and C*-complex surface singualarities, Geometric Singularity Theory2007
- Author(s)
  T.Tomaru
- Organizer
  Polish-Japanese Working Days
- Place of Presentation
  Poland, Sopot
- Year and Date
  2007-07-12
- Data Source
  KAKENHI-PROJECT-18340004
[Presentation] C^<*->作用をもつリーマン面の退化族とC^<*->作用をもつ2次元特異点2007
- Author(s)
  都丸正
- Organizer
  日本数学会秋季総合分科会関数論部会一般講演
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-18340004
[Presentation] C*-equivariant degenerations of curves and normal surface singularities with C*-action
- Author(s)
  T.Tomaru
- Organizer
  Topology of singularities and related topics, III
- Place of Presentation
  Dalat (Vietnam)
- Invited
- Data Source
  KAKENHI-PROJECT-22340004
[Presentation] 2次元C*-特異点と閉リーマン面のC*-作用付き退化族について
- Author(s)
  都丸正
- Organizer
  多変数関数論冬セミナー
- Place of Presentation
  福島市コラッセふくしま
- Data Source
  KAKENHI-PROJECT-25400064
[Presentation] C*-equivariant degenerations of curves and normal surface singularities with C*$-action
- Author(s)
  都丸正
- Organizer
  Singularities in geometry and applications III
- Place of Presentation
  Edinburgh University, Scottland, UK
- Data Source
  KAKENHI-PROJECT-25400064

1. OKUMA Tomohiro (00300533)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. WATANABE Keiichi (10087083)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. ISHII Shihoko (60202933)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. TOMARI Masataka (60183878)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. FUJITA Takao (40092324)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. 福島博 (30125869)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 伊藤隆 (40193495)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 布川護 (00008137)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 大竹公一郎 (60134269)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. TAKAGI Shunsuke (40380670)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 西谷泉 (80261824)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 小関煕純 (80170257)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 辻元 (30172000)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. Nemethi Andras

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Tomaru Tadashi 都丸 正

TOMARU Tadashi 都丸 正

都丸 正 トマル タダシ

Research Projects

Research Products

Co-Researchers

A study of complex surface singularities with rational homology sphere link

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of normal surface singularities related to degeneration families of compact Riemann surfaces.Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study of complex surface singularities whose link is a rational homology sphere

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Singularities on algebraic varieties

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study of complex surface singularities with rational homology sphere links

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On some relations between complex surface singularities of some types and degeneration families of compact Riemann surfaces.Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on the singularities of a variety

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The research of 2-dimensional complex singularities associated to degenerations of closed Riemann surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on singularities of a variety

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On Pencil genus for normal surface singularities (II)Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On pencil genus of 2-dimensional singularitiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of Quasi-Kodaira singularitiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

二次元楕円型特異点の楕円系列についてPrincipal Investigator

Principal Investigator

Tomaru Tadashi 都丸正

TOMARU Tadashi 都丸正

都丸正トマルタダシ

[Journal Article] Normal C*-surface singularities whose　maximal ideacycles2015