Family 3-5 and $\delta$-invariant of polarized del Pezzo surfaces

Abstract: It is known that a smooth Fano variety admits a Kahler Einstein metric if and only if it is K-polystable. For two-dimensional Fano varieties (del Pezzo surfaces) Tian and Yau proved that a smooth del Pezzo surface is K-polystable if and only if it is not a blow up of $\mathbb{P}^2$ in one or two points. A lot of research was done for threefolds however, not everything is known and often the problem can be reduced to computing $\delta$-invariant of (possibly singular) del Pezzo surfaces. In my talk, I will present an explicit example of such computation.

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