Tanaka Hiromu 田中公

… Alternative Names

TANAKA Hiromu 田中公

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Researcher Number	50724514
Other IDs
Affiliation (Current)	2025: 京都大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2018 – 2024: 東京大学, 大学院数理科学研究科, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related Except Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 極小モデル / 双有理幾何学 / ファノ多様体 / 正標数 / 準F分裂 / 代数幾何学 / 極小モデル理論 / 双有理幾何 Except Principal Investigator 代数幾何学 / 判定イデアル … More / F特異点 / 混標数 / 純射 / 乗数イデアル / 川又対数端末型特異点 / 巨大Cohen-Macaulay代数 / 特異点 / 可換環論 / WO有理特異点 / 正標数 / 対数的Fano多様体 / 特異点の変形 / F正則特異点 / 数値的Q-Gorenstein / Fano型多様体 / 大域的F正則多様体 Less

Birational geometry in positive characteristicPrincipal Investigator
- Principal Investigator
  
  田中公
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Tokyo
Singularity theory in mixed characteristic and its applications to the theory of F-singularities and birational geometry
- Principal Investigator
  
  高木俊輔
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Tokyo
Minimal model program in positive characteristicPrincipal Investigator
- Principal Investigator
  
  Tanaka Hiromu
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Tokyo
F-singularities and singularities in birational geometry in characteristic zero(Fostering Joint International Research)
- Principal Investigator
  
  Takagi Shunsuke
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] Vanishing theorems of Kodaira type for Witt canonical sheaves2022
- Author(s)
  Tanaka Hiromu
- Journal Title
  
  Selecta Mathematica
  
  Volume: 28 Issue: 1 Pages: 1-50
- DOI
  10.1007/s00029-021-00736-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] ON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTIC2022
- Author(s)
  Bernasconi Fabio、Tanaka Hiromu
- Journal Title
  
  Journal of the Institute of Mathematics of Jussieu
  
  Volume: 21 Issue: 1 Pages: 197-239
- DOI
  10.1017/s1474748020000067
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Invariants of algebraic varieties over imperfect fields2021
- Author(s)
  Tanaka Hiromu
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 73 Issue: 4 Pages: 471-538
- DOI
  10.2748/tmj.20200611
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] On p‐power freeness in positive characteristic2021
- Author(s)
  Tanaka Hiromu
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 294 Issue: 10 Pages: 1968-1976
- DOI
  10.1002/mana.202000118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] A Witt Nadel vanishing theorem for threefolds2020
- Author(s)
  Yusuke Nakamura, Hiromu Tanaka
- Journal Title
  
  Compos. Math.
  
  Volume: 156 Issue: 3 Pages: 435-475
- DOI
  10.1112/s0010437x1900770x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13384, KAKENHI-PROJECT-18K13386, KAKENHI-PROJECT-17H02831
[Journal Article] Pathologies on Mori fibre spaces in positive characteristic2020
- Author(s)
  Tanaka Hiromu
- Journal Title
  
  Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
  
  Volume: 20 Pages: 1113-1134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Relative semi‐ampleness in positive characteristic2020
- Author(s)
  Cascini Paolo、Tanaka Hiromu
- Journal Title
  
  Proceedings of the London Mathematical Society
  
  Volume: 121 Issue: 3 Pages: 617-655
- DOI
  10.1112/plms.12323
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Abundance theorem for surfaces over imperfect fields2020
- Author(s)
  Tanaka Hiromu
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 295 Issue: 1-2 Pages: 595-622
- DOI
  10.1007/s00209-019-02345-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Infinitely generated symbolic Rees algebras over finite fields2019
- Author(s)
  Sannai Akiyoshi、Tanaka Hiromu
- Journal Title
  
  Algebra & Number Theory
  
  Volume: 13 Issue: 8 Pages: 1879-1891
- DOI
  10.2140/ant.2019.13.1879
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Pathologies on Mori fibre spaces in positive characteristic2019
- Author(s)
  Tanaka Hiromu
- Journal Title
  
  Annali della Scuola Normale Superiore di Pisa - Classe di Scienze(印刷中)
  
  Volume: - Pages: 1113-1134
- DOI
  10.2422/2036-2145.201712_007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Purely log terminal threefolds with non-normal centres in characteristic two2019
- Author(s)
  Paolo Cascini, Hiromu Tanaka
- Journal Title
  
  American Journal of Mathematics(印刷中)
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Infinitely generated symbolic Rees algebras over finite fields2019
- Author(s)
  Akiyoshi Sannai, Hiromu Tanaka
- Journal Title
  
  Algebra and Number Theory(印刷中)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Rational points on log Fano threefolds over a finite field2019
- Author(s)
  Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka
- Journal Title
  
  J. Eur. Math. Soc. (JEMS)
  
  Volume: 21 Issue: 12 Pages: 3759-3795
- DOI
  10.4171/jems/913
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13384, KAKENHI-PROJECT-18K13386, KAKENHI-PROJECT-19KK0345, KAKENHI-PROJECT-16H02141, KAKENHI-PROJECT-17H02831, KAKENHI-PROJECT-18H01108
[Journal Article] Infinite dimensional excellent rings2019
- Author(s)
  Hiromu Tanaka
- Journal Title
  
  Communications in Algebra
  
  Volume: 47 Issue: 2 Pages: 482-489
- DOI
  10.1080/00927872.2018.1477952
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Minimal model program for log canonical threefolds in positive characteristic2019
- Author(s)
  Kenta Hashizume, Yusuke Nakamura, Hiromu Tanaka
- Journal Title
  
  Mathematical Research Letters(印刷中)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Minimal model program for excellent surfaces2018
- Author(s)
  Hiromu Tanaka
- Journal Title
  
  Annales de l'Institut Fourier (Grenoble)
  
  Volume: 68 Pages: 345-376
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Klt del Pezzo surfaces which are not globally F-split2018
- Author(s)
  Paolo Cascini Paolo, Hiromu Tanaka, Jakub Witaszek
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 7 Pages: 2135-2155
- DOI
  10.1093/imrn/rnw300
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Behavior of canonical divisors under purely inseparable base changes2018
- Author(s)
  Hiromu Tanaka
- Journal Title
  
  Journal fur die reine und angewandte Mathematik (Crelles Journal)
  
  Volume: 744 Issue: 744 Pages: 237-264
- DOI
  10.1515/crelle-2015-0111
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Smooth rational surfaces violating Kawamata?Viehweg vanishing2018
- Author(s)
  Paolo Cascini, Hiromu Tanaka
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 4 Issue: 1 Pages: 162-176
- DOI
  10.1007/s40879-016-0127-z
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Journal Article] Zariskian adic spaces2018
- Author(s)
  Hiromu Tanaka
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 41 Issue: 3 Pages: 652-695
- DOI
  10.2996/kmj/1540951258
- NAID
  130007506525
- ISSN
  0386-5991, 1881-5472
- Year and Date
  2018-10-31
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] Classification of smooth Fano threefolds in positive characteristic2024
- Author(s)
  田中公
- Organizer
  One day workshop on Algebraic and Complex Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03028
[Presentation] Classification of smooth Fano threefolds in positive characteristic2023
- Author(s)
  田中公
- Organizer
  Algebraic Geometry Seminar(Tsinghua University)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03028
[Presentation] On quasi-F-splitting2022
- Author(s)
  田中公
- Organizer
  Algebraic Geometry in East Asia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] 極小モデル理論について2022
- Author(s)
  田中公
- Organizer
  日本数学会、２０２２年秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] Pathological examples in minimal model program of positive characeteristic2021
- Author(s)
  田中公
- Organizer
  National Taiwan University-The University of Tokyo, 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] Pathological examples in minimal model program of positive characeteristic2021
- Author(s)
  田中公
- Organizer
  Arithmetic algebraic geometry and mathematical physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On Mori fibre spaces in positive characteristic2021
- Author(s)
  田中公
- Organizer
  Zoom in Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On Mori fibre spaces in positive characteristic2021
- Author(s)
  田中公
- Organizer
  Workshop on birational geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] Rational points and minimal model program in positive characteristic2019
- Author(s)
  田中公
- Organizer
  RIMS Symposia: Rational Points on Higher Dimensional Varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On Mori fibre spaces in positive characteristic2019
- Author(s)
  田中公
- Organizer
  ファノ多様体及び関連する代数幾何学
- Invited
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On Witt analogues of the Kodaira vanishing theorem2019
- Author(s)
  田中公
- Organizer
  Algebraic Geometry in Positive Characteristic and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] 正標数の３次元 klt 特異点の強 F-正則性について2019
- Author(s)
  田中公
- Organizer
  特異点論月曜セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On Mori fibre spaces in positive characteristic2019
- Author(s)
  田中公
- Organizer
  Tokyo-Seoul Conference in Mathematics 2019 - Algebraic Geometry -
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On log Fano varieties in positive characteristic2019
- Author(s)
  田中公
- Organizer
  London-Tokyo Workshop in Birational Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] Rational points for Fano varieties over finite fields and vanishing theorems for Witt vector cohomologies2019
- Author(s)
  田中公
- Organizer
  東北大学代数幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On minimal model program in positive characteristic2019
- Author(s)
  田中公
- Organizer
  代数幾何学城崎シンポジウム
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On varieties of Fano type in positive characteristic2019
- Author(s)
  田中公
- Organizer
  Modern Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On varieties of Fano type in positive characteristic2019
- Author(s)
  田中公
- Organizer
  2018 Fall Program of Moduli Spaces and Varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] On Mori fibre spaces in positive characteristic2019
- Author(s)
  田中公
- Organizer
  Algebraic and Arithmetic Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386
[Presentation] Del Pezzo fibrations in positive characteristic2019
- Author(s)
  田中公
- Organizer
  Del Pezzo surfaces and Fano varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13386

1. Takagi Shunsuke (40380670)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 權業善範 (70634210)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. Cascini Paolo

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 中村勇哉

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

Tanaka Hiromu 田中 公

TANAKA Hiromu 田中 公

Research Projects

Research Products

Co-Researchers

Birational geometry in positive characteristicPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Singularity theory in mixed characteristic and its applications to the theory of F-singularities and birational geometry

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Minimal model program in positive characteristicPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

F-singularities and singularities in birational geometry in characteristic zero(Fostering Joint International Research)

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Vanishing theorems of Kodaira type for Witt canonical sheaves2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] ON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTIC2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Invariants of algebraic varieties over imperfect fields2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On p‐power freeness in positive characteristic2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A Witt Nadel vanishing theorem for threefolds2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Pathologies on Mori fibre spaces in positive characteristic2020

Author(s)

Journal Title

Data Source

[Journal Article] Relative semi‐ampleness in positive characteristic2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Abundance theorem for surfaces over imperfect fields2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Infinitely generated symbolic Rees algebras over finite fields2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Pathologies on Mori fibre spaces in positive characteristic2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Purely log terminal threefolds with non-normal centres in characteristic two2019

Author(s)

Tanaka Hiromu 田中公

TANAKA Hiromu 田中公