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
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