Quartic surfaces up to volume preserving equivalence

Abstract: We consider log Calabi-Yau pairs of the form $(\mathbb{P}^3, D)$, where $D$ is a quartic surface, up to volume-preserving equivalence. The coregularity of the pair $(\mathbb{P}^3, D)$ is a discrete volume-preserving invariant $c=0,1$ or $2$, and which depends on the nature of the singularities of $D$. We classify all pairs $(\mathbb{P}^3,D)$ of coregularity $c=0$ or $1$ up to volume preserving equivalence. In particular, if $c=0$ then we show that $(\mathbb{P}^3, D)$ admits a volume preserving birational map onto a toric pair.

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