Kodaira vanishing for thickenings of globally $F$-regular varieties

Shunsuke Takagi (University of Tokyo)

11-Feb-2022, 12:00-13:00 (2 years ago)

Abstract: Blickle-Bhatt-Lyubeznik-Singh-Zhang proved that if $X$ is a projective variety over a field $k$ of characteristic zero with isolated complete intersection singularities, then the Kodaira vanishing theorem holds for all thickenings of $X$. What if $k$ is of positive characteristic? Kodaira vanishing can fail in positive characteristic, but it still holds for Frobenius split varieties. In this talk, I will discuss Kodaira vanishing for thickenings of globally $F$-regular varieties, a special class of Frobenius split varieties. This talk is based on joint work with Kenta Sato.

Mathematics

Audience: advanced learners


IIT Bombay Virtual Commutative Algebra Seminar

Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home

Organizers: Jugal Kishore Verma*, Kriti Goel*, Parangama Sarkar, Shreedevi Masuti
Curator: Saipriya Dubey*
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