Number Theory Seminar

Tuesday 31 October 2006, MR13, 2:30pm

A finiteness theorem for the Brauer group of K3 surfaces
(joint work with Yuri Zarhin)
Alexei Skorobogatov (Imperial College, London)


     Let k be a field finitely generated over the rationals, and let X be a K3 surface over k. We prove that Br(X)/Br(k) is finite. This is deduced from the finiteness of the Galois invariants of the Brauer group of an abelian variety over an algebraically closed field.

Last modified on 24/10/06.

Comments/corrections to Tim Dokchitser