On uniformity conjectures for abelian varieties and K3 surfaces
File(s)
Accepted version
Author(s)
Orr, Martin
Skorobogatov, Alexei
Zarhin, Yuri
Type
Journal Article
Abstract
We discuss logical links among uniformity conjectures concerning K3 sur-faces and abelian varieties of bounded dimension defined over number fields of bounded degree. The conjectures concern the endomorphism algebra of an abelian variety, the Neron–Severi lattice of a K3 surface, and the Galois invariant subgroup of the geometric Brauer group.
Date Acceptance
2019-11-14
Citation
American Journal of Mathematics, 143 (6)
ISSN
0002-9327
Publisher
Johns Hopkins University Press
Journal / Book Title
American Journal of Mathematics
Volume
143
Issue
6
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Identifier
https://muse.jhu.edu/article/840129
Grant Number
EP/M020266/1
Subjects
Science & Technology
Physical Sciences
Mathematics
L-ADIC REPRESENTATIONS
OPEN IMAGE THEOREM
ENDOMORPHISM ALGEBRAS
FINITENESS THEOREM
LEVEL STRUCTURES
NUMBER-FIELDS
MUMFORD-TATE
SHAFAREVICH
General Mathematics
0101 Pure Mathematics
Publication Status
Published