Vanishing of Brauer classes on K3 surfaces under reduction

Abstract Given a Brauer class on a K3 surface defined over a number field, we prove that there exists infinitely many reductions where the Brauer class vanishes, under certain technical hypotheses, answering a question of Frei–Hassett–Várilly‐Alvarado.

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Publication Details

Journal
Journal of the London Mathematical Society
Published
2024-12-11
DOI
https://doi.org/10.1112/jlms.70051
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Vanishing of Brauer classes on K3 surfaces under reduction

Davesh Maulik, Salim Tayou
Journal of the London Mathematical Society
Algebraic Geometry and Number Theory
article

Vanishing of Brauer classes on K3 surfaces under reduction

Davesh Maulik, Salim Tayou
article en

Abstract

Abstract Given a Brauer class on a K3 surface defined over a number field, we prove that there exists infinitely many reductions where the Brauer class vanishes, under certain technical hypotheses, answering a question of Frei–Hassett–Várilly‐Alvarado.

Journal of the London Mathematical SocietyVol. 111(1)
Dartmouth College (US), Massachusetts Institute of Technology (US)
National Science Foundation
Reduced inequalities
Openalex Percentile: Top 65%
Algebraic Geometry and Number Theory
DOISourceOpenAlex
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