Pencils of plane cubics revisited

Abstract: In recent joint work with M. Hattori we have considered the problem of classifying linear systems of hypersurfaces (of a fixed degree) in some projective space up to projective equivalence via geometric invariant theory (GIT). And we have obtained a complete and explicit stability criterion. In this talk I will explain how this criterion can be used to recover Miranda’s description of the GIT stability of pencils of plane cubics.

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