Computing the equivariant Brauer group
Algebraic Geometry
2024-10-08 v1 Number Theory
Abstract
Let X be a smooth projective rational variety carrying a regular action of a finite abelian group G. We give examples of effective computation of the Brauer group of the quotient stack [X/G] in dimensions 2 and 3 using residues in Galois cohomology and the geometry of fixed loci. In particular, we compute Br([X/G]) for all G-minimal del Pezzo surfaces.
Cite
@article{arxiv.2410.05072,
title = {Computing the equivariant Brauer group},
author = {Alena Pirutka and Zhijia Zhang},
journal= {arXiv preprint arXiv:2410.05072},
year = {2024}
}
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40 pages