Deformations of F-pure and F-regular singularities

Shunsuke Takagi (University of Tokyo)

09-Mar-2021, 11:00-12:00 (3 years ago)

Abstract: F-regular and F-pure singularities are singularities in positive characteristic defined in terms of Frobenius splitting properties. Ma and Schwede recently proved that a normal Q-Gorenstein complex variety has log terminal singularities if its reduction modulo p has F-regular singularities for a single prime p. I will discuss the analog of their result for log canonical singularities. I will also explain how F-regular singularities behave under equal and mixed characteristic deformations. This talk is based on joint work with Kenta Sato.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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