Dec 18 – 22, 2023
Kavli IPMU, Kashiwa, Japan
Asia/Tokyo timezone

F-blowups of quotient singularities and toric singularities

Dec 18, 2023, 2:00 PM
50m
Lecture Hall (Kavli IPMU, Kashiwa, Japan)

Lecture Hall

Kavli IPMU, Kashiwa, Japan

Kashiwa, Japan

Speaker

Takehiko Yasuda (Osaka)

Description

The F-blowup gives a caonical way to construct a birational transform of a singular variety in positive characteristic. There is also a non-commutative counterpart of this construction. There are several natural questions concering the F-blowup. Does this blowup give resolution of singularities? If not, does it improve singularities? Is it close to be a resolution of singularities in a certain sense? In this talk, I would like to present some recent results for quotient singularities by finite group scheme actions and for toric singularities in this direction, which were obtained in my joint works with C. Liedtke, E. Chavez-Martinez and D. Duarte.

Presentation materials

There are no materials yet.