Splitting unramified Brauer classes by abelian torsors and the period-index problem
Algebraic Geometry
2023-11-21 v2
Abstract
We use twisted relative Picard varieties to split Brauer classes on projective varieties over algebraically closed fields by torsors for a fixed abelian scheme independent of the Brauer class. The construction is also used to prove that the index of an unramified Brauer class divides a fixed power of its period.
Keywords
Cite
@article{arxiv.2310.04029,
title = {Splitting unramified Brauer classes by abelian torsors and the period-index problem},
author = {Daniel Huybrechts and Dominique Mattei},
journal= {arXiv preprint arXiv:2310.04029},
year = {2023}
}
Comments
19 pages. Introduction rewritten, references added, results unchanged