Good reduction of K3 Surfaces in equicharacteristic p

Bruno Chiarellotto; Christopher Lazda; Christian Liedtke

doi:10.2422/2036-2145.201911_009

Good reduction of K3 Surfaces in equicharacteristic p

Bruno Chiarellotto
, Christopher Lazda
, Christian Liedtke

Chair of Algebraic Geometry

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We show that for smooth and proper varieties over local fields with no non-trivial vector fields, good reduction descends over purely inseparable extensions. We use this to extend the Néron-Ogg-Shafarevich criterion for K3 surfaces of [5] to the equicharacteristic p > 0 case.

Original language	English
Pages (from-to)	483-500
Number of pages	18
Journal	Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Volume	23
Issue number	1
DOIs	https://doi.org/10.2422/2036-2145.201911_009
State	Published - 2022

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abstract = "We show that for smooth and proper varieties over local fields with no non-trivial vector fields, good reduction descends over purely inseparable extensions. We use this to extend the N{\'e}ron-Ogg-Shafarevich criterion for K3 surfaces of [5] to the equicharacteristic p > 0 case.",

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T1 - Good reduction of K3 Surfaces in equicharacteristic p

AU - Chiarellotto, Bruno

AU - Lazda, Christopher

AU - Liedtke, Christian

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Y1 - 2022

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AB - We show that for smooth and proper varieties over local fields with no non-trivial vector fields, good reduction descends over purely inseparable extensions. We use this to extend the Néron-Ogg-Shafarevich criterion for K3 surfaces of [5] to the equicharacteristic p > 0 case.

UR - https://www.scopus.com/pages/publications/85130021165

U2 - 10.2422/2036-2145.201911_009

DO - 10.2422/2036-2145.201911_009

M3 - Article

AN - SCOPUS:85130021165

SN - 0391-173X

VL - 23

SP - 483

EP - 500

JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

JF - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

IS - 1

ER -

Good reduction of K3 Surfaces in equicharacteristic p

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