Kyushu University Academic Staff Educational and Research Activities Database
Search by Keyword How ro search
Keyword
Search Criteria
 
Detailed Search

Researcher information (To researchers) Need Help? How to update
Kenta Sato Last modified date：2024.04.16

Assistant Professor / Division of Algebra and Geometry
Faculty of Mathematics


Graduate School
Department of Mathematics
Graduate School of Mathematics
Undergraduate School
Department of Mathematics
School of Sciences


E-Mail　*Since the e-mail address is not displayed in Internet Explorer, please use another web browser:Google Chrome, safari.
Homepage
https://kyushu-u.elsevierpure.com/en/persons/kenta-sato
　Reseacher Profiling Tool　Kyushu University Pure
https://sites.google.com/view/ktsato/home
Field of Specialization
Algebraic geometry, Commutative algebra
Total Priod of education and research career in the foreign country
00years02months
Outline Activities
I am studying algebraic geometry. In particular, I am interested in algebraic varieties in positive characteristic. In algebraic geometry of positive characteristic, techniques such as resolution of singularities and vanishing of cohomologies cannot be used, so there are many difficulties compared to characteristic 0. I am conducting research with the goal of solving such difficulties by developing a method specific to positive characteristic using Frobenius morphism. So far, I have mainly studied singularities in positive characteristic. Recently, I am also interested in studying global objects such as Fano varieties from the viewpoint of positive characteristic.
Research
Research Interests
  • Boundedness of projective varieties in positive characteristic
    keyword : Algebraic geometry, Positive characteristic, Fano varieties, Globally F regular, Boundedness
    2020.04.
  • Singularities in positive characteristic
    keyword : Algebraic geometry, Positive characteristic, F-singularity, MMP, F-pure threshold
    2017.04.
Academic Activities
Papers
 Show All Papers >>
1. Kenta Sato, Stability of test ideals of divisors with small multiplicity, Math. Z., 10.1007/s00209-017-1913-0, 288, 3-4, 783-802, 2018.08.
2. Kenta Sato, Shunsuke Takagi, General hyperplane sections of threefolds in positive characteristic, J. Inst. Math. Jussieu., 10.1017/S1474748018000166, 19, 2, 647-661, 2020.03.
3. Kenta Sato, Ascending chain condition for $F$-pure thresholds on a fixed strongly $F$-regular germ, Compos. Math., 10.1112/S0010437X19007358, 155, 6, 1194-1223, 2019.06.
4. Kenta Sato, Ascending chain condition for $F$-pure thresholds with fixed embedding dimension, Int. Math. Res. Not., 10.1093/imrn/rnz031, 2021, 10, 7205-7223, 2021.05.
5. Kenta Sato, Weak Akizuki-Nakano vanishing theorem for singular globally $F$-split 3-folds, Manuscr. Math..
6. Kenta Sato, On accumulation points of $F$-pure thresholds on regular local rings, J. Algebra, 10.1016/j.jalgebra.2023.02.010, 622, 614-635, 2023.05.
7. Kenta Sato, Shunsuke Takagi, Arithmetic and geometric deformations of $F$-pure and $F$-regular singularities, to appear in Amer. J. Math..
8. Kenta Sato, Shunsuke Takagi, Deformations of log terminal and semi log canonical singularities, Forum Math. Sigma, 10.1017/fms.2023.28, 11, e35, 1-34, 2023.05.
Presentations
 Show All Presentations >>


Unauthorized reprint of the contents of this database is prohibited.

Copyright © 2006, Kyushu University. All rights reserved.