A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic

作者：Skorobogatov Alexei N^*; Zarhin Yuri G

来源：International Mathematics Research Notices, 2015, 2015(21): 11404-11418.

DOI：10.1093/imrn/rnv030

Let p be an odd prime and let k be a field finitely generated over the finite field with p elements. For any K3 surface X over k, we prove that the cokernel of the natural map Br(k) -> Br(X) is finite modulo the p-primary torsion subgroup.

• 出版日期2015