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Kenta Sato Last modified date:2020.11.04





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Homepage
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
00years00months
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
1. Kenta Sato, Ascending chain condition for F-pure thresholds with fixed embedding dimension, to appear in Int. Math. Res. Not..
2. Kenta Sato, Ascending chain condition for F-pure thresholds on a fixed strongly F-regular germ, Compos. Math., 2019.06.
3. Kenta Sato, Shunsuke Takagi, General hyperplane sections of threefolds in positive characteristic, to appear in J. Inst. Math. Jussieu.
4. Kenta Sato, Stability of test ideals of divisors with small multiplicity, Math. Z, 2018.08.