On uniformity conjectures for abelian varieties and K3 surfaces
Number Theory
2021-12-14 v3 Algebraic Geometry
Abstract
We discuss logical links among uniformity conjectures concerning K3 surfaces 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.
Cite
@article{arxiv.1809.01440,
title = {On uniformity conjectures for abelian varieties and K3 surfaces},
author = {Martin Orr and Alexei N. Skorobogatov and Yuri G. Zarhin},
journal= {arXiv preprint arXiv:1809.01440},
year = {2021}
}
Comments
38 pages. Minor fixes