#### Vol. 15, No. 9, 2021

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Higher frames and $G$-displays

### Eike Lau

Vol. 15 (2021), No. 9, 2315–2355
##### 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.

##### Keywords
displays, crystalline cohomology, K3 surfaces
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