|Kenta Sato||Last modified date：2020.11.04|
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Field of Specialization
Algebraic geometry, Commutative algebra
Total Priod of education and research career in the foreign country
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.
- Boundedness of projective varieties in positive characteristic
keyword : Algebraic geometry, Positive characteristic, Fano varieties, Globally F regular, Boundedness
- Singularities in positive characteristic
keyword : Algebraic geometry, Positive characteristic, F-singularity, MMP, F-pure threshold