Higher frames and G-displays

Lau, Eike

doi:10.2140/ant.2021.15.2315

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Higher frames and $G$-displays

Eike Lau

Vol. 15 (2021), No. 9, 2315–2355

DOI: 10.2140/ant.2021.15.2315

Abstract

Deformations of ordinary varieties of K3 type can be described in terms of displays, by recent work of Langer and Zink. We extend this to the general (nonordinary) case using displays with $G$ -structure for a reductive group $G$ . This is based on a modified definition of the tensor category of displays and variants of these which is related to the Frobenius gauges of Fontaine and Jannsen.

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Keywords

displays, crystalline cohomology, K3 surfaces

Mathematical Subject Classification

Primary: 14F30

Milestones

Received: 28 August 2020

Revised: 22 January 2021

Accepted: 7 March 2021

Published: 23 December 2021

Authors

Eike Lau
Fakultät für Mathematik Universität Bielefeld Bielefeld Germany

Vol. 15, No. 9, 2021