Abstract
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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).
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Keywords
Brauer group, weighted projective spaces
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Mathematical Subject Classification
Primary: 14F22
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Milestones
Received: 23 August 2022
Revised: 3 May 2023
Accepted: 13 May 2023
Published: 26 July 2023
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