Fujita Kento 藤田健人

Researcher Number	40779146
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 大阪大学, 大学院理学研究科, 准教授 2018 – 2021: 大阪大学, 理学研究科, 准教授 2016 – 2017: 京都大学, 数理解析研究所, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 極小モデル理論 / K安定性 / ファノ多様体 / Fano多様体 / ケーラー・アインシュタイン計量

準単項的付値による双有理幾何学とK安定性Principal Investigator
- Principal Investigator
  
  藤田健人
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Osaka University
K-stability and minimal model programPrincipal Investigator
- Principal Investigator
  
  Fujita Kento
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Osaka University
An explicit study for K-stability of Fano manifoldsPrincipal Investigator
- Principal Investigator
  
  Fujita Kento
- Project Period (FY)
  2016 – 2017
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Algebra
- Research Institution
  Kyoto University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Strong Calabi dream Bott manifolds2024
- Author(s)
  Fujita Kento、Yotsutani Naoto
- Journal Title
  
  ANNALI DELL'UNIVERSITA' DI FERRARA
  
  Volume: - Issue: 3 Pages: 607-630
- DOI
  10.1007/s11565-023-00484-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03269, KAKENHI-PROJECT-22K03316, KAKENHI-PROJECT-18K13406
[Journal Article] K-stable divisors in P1xP1xP2 of degree (1,1,2)2023
- Author(s)
  Ivan Cheltsov, Kento Fujita, Takashi Kishimoto, Takuzo Okada
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: - Pages: 1-29
- DOI
  10.1017/nmj.2023.5
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03395, KAKENHI-PROJECT-22K03269
[Journal Article] The Calabi Problem for Fano Threefolds2023
- Author(s)
  Araujo Carolina、Castravet Ana-Maria、Cheltsov Ivan、Fujita Kento、Kaloghiros Anne-Sophie、Martinez-Garcia Jesus、Shramov Constantin、Suess Hendrik、Viswanathan Nivedita
- Journal Title
  
  Cambridge University Press
  
  Volume: 485 Pages: 1-442
- DOI
  10.1017/9781009193382
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Journal Article] Fano manifolds with many free divisors2022
- Author(s)
  Fujita Kento
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 8 Issue: 3 Pages: 909-931
- DOI
  10.1007/s40879-022-00559-z
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269, KAKENHI-PROJECT-18K13388
[Journal Article] On K-Stability for Fano Threefolds of Rank 3 and Degree 282022
- Author(s)
  Fujita Kento
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: - Issue: 15 Pages: 12601-12784
- DOI
  10.1093/imrn/rnac190
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269, KAKENHI-PROJECT-18K13388
[Journal Article] K-stability of log Fano hyperplane arrangements2021
- Author(s)
  Fujita Kento
- Journal Title
  
  Journal of Algebraic Geometry
  
  Volume: 30 Issue: 4 Pages: 603-630
- DOI
  10.1090/jag/783
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13388
[Journal Article] On K-Polystability for Log Del Pezzo Pairs of Maeda Type2020
- Author(s)
  Fujita Kento
- Journal Title
  
  Acta Mathematica Vietnamica
  
  Volume: 45 Issue: 4 Pages: 943-965
- DOI
  10.1007/s40306-020-00388-w
- Data Source
  KAKENHI-PROJECT-18K13388
[Journal Article] Uniform K-stability and plt blowups of log Fano pairs2019
- Author(s)
  Fujita Kento
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 59 Issue: 2 Pages: 399-418
- DOI
  10.1215/21562261-2019-0012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13388
[Journal Article] The generalized Mukai conjecture for toric log Fano pairs2019
- Author(s)
  Fujita Kento
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 5 Issue: 3 Pages: 858-871
- DOI
  10.1007/s40879-018-0302-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13388
[Journal Article] A valuative criterion for uniform K-stability of Q-Fano varieties2019
- Author(s)
  Fujita Kento
- Journal Title
  
  Journal fuer die reine und angewandte Mathematik (Crelles Journal)
  
  Volume: 2019 Issue: 751 Pages: 309-338
- DOI
  10.1515/crelle-2016-0055
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13388
[Journal Article] Notes on K-Semistability of Toric Polarized Varieties2019
- Author(s)
  Fujita Kento
- Journal Title
  
  Springer INdAM Ser.
  
  Volume: 31 Pages: 37-51
- DOI
  10.1007/978-3-030-13158-6_3
- ISBN
  9783030131579, 9783030131586
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13388
[Journal Article] K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS2019
- Author(s)
  Fujita Kento
- Journal Title
  
  Journal of the Institute of Mathematics of Jussieu
  
  Volume: 18 Issue: 3 Pages: 519-530
- DOI
  10.1017/s1474748017000111
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13388
[Journal Article] Optimal bounds for the volumes of K\"ahler-Einstein Fano manifolds2018
- Author(s)
  Fujita Kento
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 140 Issue: 2 Pages: 391-414
- DOI
  10.1353/ajm.2018.0009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H06885, KAKENHI-PROJECT-18K13388
[Journal Article] On the K-stability of Fano varieties and anticanonical divisors2018
- Author(s)
  Kento Fujita and Yuji Odaka
- Journal Title
  
  Tohoku Math. J.
  
  Volume: 70
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13388
[Journal Article] Examples of K-unstable Fano manifolds with the Picard number 12017
- Author(s)
  Kento Fujita
- Journal Title
  
  Proceedings of the Edinburgh Mathematical Society
  
  Volume: 60 Issue: 4 Pages: 881-891
- DOI
  10.1017/s0013091516000432
- Data Source
  KAKENHI-PROJECT-16H06885
[Journal Article] Classification of log del Pezzo surfaces of index three2017
- Author(s)
  FUJITA Kento, YASUTAKE Kazunori
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 69 Issue: 1 Pages: 163-225
- DOI
  10.2969/jmsj/06910163
- NAID
  130005310384
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H06885
[Journal Article] On three-dimensional semi-terminal singularities2017
- Author(s)
  Kento Fujita
- Journal Title
  
  Bulletin of the Korean Mathematical Society
  
  Volume: 54 Pages: 1471-1483
- Data Source
  KAKENHI-PROJECT-16H06885
[Journal Article] On log K-stability for asymptotically log Fano varieties2016
- Author(s)
  Kento Fujita
- Journal Title
  
  Ann. Fac. Sci. Toulouse Math.
  
  Volume: 25 Issue: 5 Pages: 1013-1024
- DOI
  10.5802/afst.1520
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] 3次元ファノ多様体のカラビの問題について2024
- Author(s)
  Kento Fujita
- Organizer
  日本数学会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] On the Calabi problem for Fano varieties2024
- Author(s)
  Kento Fujita
- Organizer
  杉本代数セミナー（大阪公立大学）
- Invited
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] ファノ多様体のK安定性の判定法について2024
- Author(s)
  Kento Fujita
- Organizer
  日本数学会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] On the Calabi problem for Fano varieties2023
- Author(s)
  Kento Fujita
- Organizer
  Algebraic Geometry, Lipschitz Geometry and Singularities, Pipa
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] K-stability of Casagrande-Druel varieties2023
- Author(s)
  Kento Fujita
- Organizer
  Fano varieties, their Geometry and Moduli, KIAS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] K-stability of Casagrande-Druel varieties2023
- Author(s)
  Kento Fujita
- Organizer
  K-stability and Birational Geometry, Clay Mathematics Institute
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] The Calabi problem for Fano threefolds2023
- Author(s)
  Kento Fujita
- Organizer
  Workshop on Moduli, K-stability, Fano varieties, and related topics, IBS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] The Calabi problem for Fano threefolds2023
- Author(s)
  Kento Fujita
- Organizer
  Geometry in Istanbul, Bogazici University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] K-stability of Casagrande-Druel varieties2023
- Author(s)
  Kento Fujita
- Organizer
  第29回複素幾何シンポジウム（金沢）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  MPS conference on higher dimensional geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  Birational Geometry and Kstability of Fano varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  Algebraic Geometry Seminar, Yau Mathematical Sciences Center (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  IBS-CGP 10th Anniversary Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  Recent Advances in Classical Algebraic Geometry (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  MPS conference on higher dimensional geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  Recent Advances in Classical Algebraic Geometry (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  Pacific Rim Complex and Symplectic Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  Algebraic Geometry Seminar, Center for Complex Geometry (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  Birational Geometry and Kstability of Fano varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  IBS-CGP 10th Anniversary Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] The Calabi problem for Fano threefolds2022
- Author(s)
  Kento Fujita
- Organizer
  Pacific Rim Complex and Symplectic Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03269
[Presentation] The Calabi problem for Fano threefolds2021
- Author(s)
  Kento Fujita
- Organizer
  Birational Geometry Seminar, National Center for Theoretical Sciences (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The Calabi problem for Fano threefolds2021
- Author(s)
  Kento Fujita
- Organizer
  第27回複素幾何シンポジウム (オンライン)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The generalized Mukai conjecture for toric log Fano pairs2019
- Author(s)
  Kento Fujita
- Organizer
  Workshop on Algebraic Geometry, Xiamen University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] On the uniform K-stability for some asymptotically log del Pezzo surfaces2019
- Author(s)
  Kento Fujita
- Organizer
  Algebraic Geometry in Auckland
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] Openness results for uniform K-stability2019
- Author(s)
  Kento Fujita
- Organizer
  Algebraic Geometry and Moduli Theory
- Invited
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] The generalized Mukai conjecture for toric log Fano pairs2019
- Author(s)
  Kento Fujita
- Organizer
  ファノ多様体及び関連する代数幾何学
- Invited
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] K-stability of log Fano hyperplane arrangements2019
- Author(s)
  Kento Fujita
- Organizer
  Kahler-Einstein metrics and degenerations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] Toward criteria for K-stability of log Fano pairs2019
- Author(s)
  Kento Fujita
- Organizer
  Birational Geometry and Fano varieties, dedicated to V. Iskovskikh
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] On globally embeddedness of simple normal crossing varieties2018
- Author(s)
  Kento Fujita
- Organizer
  Log geometry, degenerations and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] K-stability of log Fano hyperplane arrangements2018
- Author(s)
  Kento Fujita
- Organizer
  The 16th affine algebraic geometry meeting
- Invited
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] Toward criteria for K-stability of log Fano pairs2018
- Author(s)
  Kento Fujita
- Organizer
  Connection for Algebraic Geometers
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] Openness results for uniform K-stability2018
- Author(s)
  Kento Fujita
- Organizer
  Algebraic Geometry in East Asia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13388
[Presentation] Openness results for uniform K-stability2018
- Author(s)
  Kento Fujita
- Organizer
  Positivity concepts an holomorphic line bundles and theories on canonical K\"ahler metrics
- Invited
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] Problems on K-stability of log Fano pairs2017
- Author(s)
  Kento Fujita
- Organizer
  Workshop on stability and moduli spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] A valuative criterion for uniform K-stability of log Fano pairs2017
- Author(s)
  Kento Fujita
- Organizer
  Classification and Moduli theory of algebraic varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] K-stability of log Fano hyperplane arrangements2017
- Author(s)
  Kento Fujita
- Organizer
  Bi-annual Algebraic and Tropical Meetings of Brown and Yale
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] Uniform K-stability and plt blowups of log Fano pairs2017
- Author(s)
  Kento Fujita
- Organizer
  Moduli of K-stable varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] Uniform K-stability and plt blowups of log Fano pairs2017
- Author(s)
  Kento Fujita
- Organizer
  Spring Meeting on Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] Uniform K-stability and plt blowups of log Fano pairs2017
- Author(s)
  Kento Fujita
- Organizer
  Symposium in Geometry and Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] Openness results for uniform K-stability2017
- Author(s)
  Kento Fujita
- Organizer
  Boundedness and Fano varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] Remarks on uniform K-stability of log Fano pairs2016
- Author(s)
  Kento Fujita
- Organizer
  Workshop on Algebraic Geometry
- Place of Presentation
  Hanga Roa, Chile
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] A valuative criterion for uniform K-stability of Fano manifolds2016
- Author(s)
  Kento Fujita
- Organizer
  第22 回複素幾何シンポジウム(金沢)
- Place of Presentation
  しいのき迎賓館
- Invited
- Data Source
  KAKENHI-PROJECT-16H06885
[Presentation] On the K-stability of Fano varieties and anticanonical divisors2016
- Author(s)
  Kento Fujita
- Organizer
  都の西北代数幾何学シンポジウム
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-16H06885

1. 岸本崇

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# of Collaborated Products: 1 results

Fujita Kento 藤田 健人

Research Projects

Research Products

Co-Researchers

準単項的付値による双有理幾何学とK安定性Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

K-stability and minimal model programPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

An explicit study for K-stability of Fano manifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Strong Calabi dream Bott manifolds2024

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Journal Title

DOI

Data Source

[Journal Article] K-stable divisors in P1xP1xP2 of degree (1,1,2)2023

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Journal Title

DOI

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[Journal Article] The Calabi Problem for Fano Threefolds2023

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Journal Title

DOI

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[Journal Article] Fano manifolds with many free divisors2022

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[Journal Article] On K-Stability for Fano Threefolds of Rank 3 and Degree 282022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] K-stability of log Fano hyperplane arrangements2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On K-Polystability for Log Del Pezzo Pairs of Maeda Type2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Uniform K-stability and plt blowups of log Fano pairs2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The generalized Mukai conjecture for toric log Fano pairs2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A valuative criterion for uniform K-stability of Q-Fano varieties2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Notes on K-Semistability of Toric Polarized Varieties2019

Author(s)

Journal Title

DOI

ISBN

Data Source

[Journal Article] K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS2019

Author(s)

Fujita Kento 藤田健人