Automorphisms of weighted projective hypersurfaces

Abstract: Automorphism groups of smooth hypersurfaces in projective space are well studied in algebraic geometry. In this talk, I'll work in the more general setting of automorphism groups of quasismooth hypersurfaces in weighted projective space and consider the following questions: when are these groups linear? When are they finite, and if finite, how large can they get? What does the automorphism group of a very general hypersurface with given weights and degree look like? In each case, I'll generalize analogous results for ordinary projective hypersurfaces and explain how unexpected behavior appears in the weighted setting.

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