Student Arithmetic Geometry Seminar: Unirationality of Supersingular K3 surfaces.

Seminar | March 10 | 2-3 p.m. | 736 Evans Hall

 Ben Lim, Stanford

 Department of Mathematics

The goal of this talk is to discuss a result of Liedtke (2014) that supersingular K3 surfaces over an algebraically closed field of characteristic $p \geq 5$ are unirational. We define what a supersingular K3 is and the formal Brauer group. We show that the Kummer construction applied to a product of supersingular elliptic curves is unirational. Finally, we sketch how the general case follows from this by induction on the Artin invariant.