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.
Good Reduction of K3 Surfaces in equicharacteristic p
Chiarellotto, Bruno
;Lazda, Christopher;Liedtke, Christian
2022
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.
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