Back to Algebraic Geometry Seminar: Fall 2024
Algebraic Geometry Seminar
Date: Tuesday, Oct 29, 2024
Time: 3:30PM - 4:30PM
Location: LCB 222
Sarah Frei
Dartmouth College
Title |
Relative Severi-Brauer varieties on K3 surfaces |
Abstract |
Geometric realizations (as etale projective bundles) of Brauer classes on surfaces have many applications, such as the arithmetic of surfaces over non-closed fields and rationality of fourfolds (even over the complex numbers). In this talk, I will discuss joint work with Jack Petok and Anthony Varilly-Alvarado, in which we consider constructions of these etale projective bundles for Brauer classes on K3 surfaces. This builds on recent results of van Geemen and Kaputska, who show that some 2-torsion Brauer classes on K3 surfaces have realizations as the exceptional locus of a divisorial contraction on a hyperkahler fourfold. |
Algebraic Geometry