Work

Computing the equivariant Brauer group

Year: 2025

Type: article

Abstract: Let [Formula: see text] be a smooth projective rational variety carrying a regular action of a finite abelian group [Formula: see text]. We give examples of effective computation of the Brauer group of the quotient stack [Formula: see text] in dimensions [Formula: see text] and [Formula: see text] using residues in Galois cohomology and the geometry of fixed loci. In particular, we compute [Formula: see text] for all [Formula: see text]-minimal del Pezzo surfaces.

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x25500181

Authors: Alena Pirutka, Zhijia Zhang

Institutions: Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Birational Geometry: Invariants, Reconstruction, and Deformation Problems