Invariance of plurigenera and KSBA moduli in positive and mixed characteristic

Abstract: A famous theorem by Siu states that plurigenera are invariant under smooth deformations for complex projective manifolds, a result which is a cornerstone of higher dimensional moduli theory. In this talk we will explore some examples showing that Siu's theorem fails in positive and mixed characteristic, then discuss the implications at the level of moduli theory, as well as some related questions.

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