A remark on uniform boundedness for Brauer groups
Algebraic Geometry
2018-01-24 v1 Number Theory
Abstract
The Tate conjecture for divisors on varieties over number fields is equivalent to finiteness of -primary torsion in the Brauer group. We show that this finiteness is actually uniform in one-dimensional families for varieties that satisfy the Tate conjecture for divisors -- e.g. abelian varieties and surfaces.
Cite
@article{arxiv.1801.07322,
title = {A remark on uniform boundedness for Brauer groups},
author = {Anna Cadoret and François Charles},
journal= {arXiv preprint arXiv:1801.07322},
year = {2018}
}
Comments
8 pages, comments welcome