Boundedness of the p-primary torsion of the Brauer groups of K3 surfaces
Christopher D. Lazda, Alexei N. Skorobogatov
公開日: 2024/7/10
Abstract
We prove that the transcendental Brauer group of a K3 surface X over a finitely generated field k is finite, unless k has positive characteristic p and X is supersingular, in which case it is annihilated by p.