A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic
File(s)sz2014.pdf (144.04 KB)
Accepted version
Author(s)
Skorobogatov, AN
Zarhin, YG
Type
Journal Article
Abstract
Let pp be an odd prime and let kk be a field finitely generated over the finite field with pp elements. For any K3 surface XX over k,k, we prove that the cokernel of the natural map Br(k)→Br(X)Br(k)→Br(X) is finite modulo the pp-primary torsion subgroup.
Date Issued
2015-02-12
Date Acceptance
2015-01-15
Citation
International Mathematics Research Notices, 2015, 2015 (21), pp.11404-11418
ISSN
1687-0247
Publisher
Oxford University Press (OUP)
Start Page
11404
End Page
11418
Journal / Book Title
International Mathematics Research Notices
Volume
2015
Issue
21
Copyright Statement
This is a pre-copyedited, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record Alexei N. Skorobogatov and Yuri G. Zarhin
A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic
Int Math Res Notices (2015) Vol. 2015 11404-11418 first published online February 12, 2015 is available online at: https://dx.doi.org/10.1093/imrn/rnv030
A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic
Int Math Res Notices (2015) Vol. 2015 11404-11418 first published online February 12, 2015 is available online at: https://dx.doi.org/10.1093/imrn/rnv030
Subjects
Science & Technology
Physical Sciences
Mathematics
ABELIAN-VARIETIES
NUMBER-FIELDS
REDUCTION
Publication Status
Published