Variation of Néron-Severi ranks of reductions of algebraic surfaces

Speaker: 

Edgar Costa

Affiliation: 

New York University

Date: 

Wed, 05/11/2014 - 2:00pm

Venue: 

Red Centre M032, UNSW

Abstract: 

We study the behavior of geometric Picard rank of abelian surfaces and K3 surfaces over Q under reduction modulo primes. We compute these ranks for reductions of representative examples, investigate the resulting statistics and its correlations with the Sato-Tate group.

School Seminar Series: