Variation of Néron-Severi ranks of reductions of algebraic surfaces

Edgar Costa (NYU)

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.

Tuesday, February 10th, at 4:00pm in HBH 227

Return to talks from Spring 2015