Orbits on tri-involutive K3 surfaces

Joseph Silverman (Brown University)

12-Apr-2022, 20:30-21:30 (24 months ago)

Abstract: Let $W$ be a surface in $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1$ given by the vanishing of a $(2,2,2)$ form. The three projections $W \to \mathbb{P}^1 \times \mathbb{P}^1$ are double covers that induce three non-commuting involutions on $W$. Let $G$ be the group of automorphisms of $W$ generated by these involutions. We investigate the $G$-orbit structure of the points of $W$. In particular, we study $G$-orbital components over finite fields and finite $G$-orbits in characteristic 0. This is joint work with Elena Fuchs, Matthew Litman, and Austin Tran.

algebraic geometrynumber theory

Audience: researchers in the topic

( paper )


MIT number theory seminar

Series comments: To receive announcements by email, add yourself to the nt mailing list.

Past semesters

Organizers: Edgar Costa*, Siyan Daniel Li-Huerta*, Bjorn Poonen*, David Roe*, Andrew Sutherland*, Robin Zhang*, Wei Zhang*, Shiva Chidambaram*
*contact for this listing

Export talk to