Splitting unramified Brauer classes by abelian torsors and the periodindex problem
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.
 Publication:

arXiv eprints
 Pub Date:
 October 2023
 DOI:
 10.48550/arXiv.2310.04029
 arXiv:
 arXiv:2310.04029
 Bibcode:
 2023arXiv231004029H
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 19 pages. Introduction rewritten, references added, results unchanged