Work

Splitting unramified Brauer classes by abelian torsors and the period-index problem

Year: 2025

Type: article

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.

Source: Mathematische Annalen

DOI: 10.1007/s00208-025-03161-2

Authors: Daniel Huybrechts, Dominique Mattei

Institutions: University of Bonn, Hausdorff Center for Mathematics

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Eidgenössische Technische Hochschule Zürich, Rheinische Friedrich-Wilhelms-Universität Bonn, HORIZON EUROPE European Research Council