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The cohomological Brauer group of weighted projective spaces and stacks

Minseon Shin

Vol. 324 (2023), No. 2, 353–370
Abstract

We compute the cohomological Brauer groups of twists of weighted projective spaces and weighted projective stacks, generalizing Gabber’s computation of the Brauer group of Brauer–Severi varieties. A key ingredient in our proof is a description of the Brauer group of toric varieties due to DeMeyer, Ford, Miranda (1993).

Keywords
Brauer group, weighted projective spaces
Mathematical Subject Classification
Primary: 14F22
Milestones
Received: 23 August 2022
Revised: 3 May 2023
Accepted: 13 May 2023
Published: 26 July 2023
Authors
Minseon Shin
Department of Mathematics
University of Washington
Seattle, WA
United States

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