Enriques involutions and Brauer classes
File(s)
Accepted version
Author(s)
Skorobogatov, AN
Valloni, D
Type
Journal Article
Abstract
We prove that every element of order 2 in the Brauer group of a complex Kummer surface X descends to an Enriques quotient of X. In generic cases, this gives a bijection between the set Enr(X) of Enriques quotients of X up to isomorphism and the set of Brauer classes of X of order 2. For some K3 surfaces of Picard rank 20, we prove that the fibers of Enr(X)→Br(X)[2] above the nonzero points have the same cardinality.
Date Issued
2023-09-01
Date Acceptance
2022-10-28
Citation
Nagoya Mathematical Journal, 2023, 251, pp.606-621
ISSN
0027-7630
Publisher
Cambridge University Press
Start Page
606
End Page
621
Journal / Book Title
Nagoya Mathematical Journal
Volume
251
Copyright Statement
© The Author(s), 2022. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal.
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000898424600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
14F22
14J28
Mathematics
Physical Sciences
Science & Technology
SINGULAR K3 SURFACES
Publication Status
Published
Article Number
PII S0027763022000435
Date Publish Online
2022-12-13