CANCELLED - On accumulation points of volumes of stable surfaces with one cyclic quotient singularity

Abstract: The set of volumes of stable surfaces does have accumulation points. I will introduce this phenomenon for surfaces with one cyclic quotient singularity towards answering the question under which conditions we can still have boundedness. Effective bounds allow listing singularities that might appear on a stable surface after fixing its invariants. I will show optimal inequalities for stable surfaces with one cyclic quotient singularity, which can be used to prove boundedness under certain conditions. I also will introduce the notion of generalized T-singularity, which is a natural generalization of the well-known T-singularities. I will show how the accumulation points of volumes of stable surfaces with one generalized T-singularity are formed.

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