Reductive quotients of klt varieties

Abstract: In this talk, I will explain the proof of a recent result, obtained together with Daniel Greb, Kevin Langlois, and Joaquin Moraga, that reductive quotients of klt type varieties are of klt type. This generalizes and extends a classical result by Boutot, stating that these kinds of quotients preserve rational singularities. The statement was also well known in the case of finite groups. If time permits, I will also discuss several applications of our result, e.g. on quotients of Fano type varieties, good moduli spaces, and collapsing of homogeneous bundles.

algebraic geometrycombinatorics

Audience: researchers in the topic

Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html