A uniform bound on the Brauer groups of certain log K3 surfaces

Abstract

Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the size of the Brauer group of U in terms of the degree of k.

Minor improvements to presentation

References in corpus (2)

• Finiteness theorems for K3 surfaces and abelian varieties of CM type
• Effective bounds for Brauer groups of Kummer surfaces over number fields

Cited by in corpus (1)

• Integral Hasse principle and strong approximation for Markoff surfaces