List of faculty

SATO, Kenta( SATO, Kenta ) / Assistant Professor

Faculty , Department

Faculty of Mathematics : Division of Algebra and Geometry


Algebraic Geometry, Commutative Ring Theory, Singularity Theory, Positive Characteristic

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.