Vanishing of Brauer classes on K3 surfaces under reduction

Fuente: arXiv
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Auteurs principaux: Maulik, Davesh, Tayou, Salim
Format: Preprint
Publié: 2023
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_version_ 1866916486541475840
author Maulik, Davesh
Tayou, Salim
author_facet Maulik, Davesh
Tayou, Salim
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2303_16401
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Vanishing of Brauer classes on K3 surfaces under reduction
Maulik, Davesh
Tayou, Salim
Algebraic Geometry
Number Theory
14J28, 14F22, 14G35, 11G18
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.
title Vanishing of Brauer classes on K3 surfaces under reduction
topic Algebraic Geometry
Number Theory
14J28, 14F22, 14G35, 11G18
url https://arxiv.org/abs/2303.16401