Vol. 15, No. 9, 2021

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Higher frames and $G$-displays

Eike Lau

Vol. 15 (2021), No. 9, 2315–2355

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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displays, crystalline cohomology, K3 surfaces
Mathematical Subject Classification
Primary: 14F30
Received: 28 August 2020
Revised: 22 January 2021
Accepted: 7 March 2021
Published: 23 December 2021
Eike Lau
Fakultät für Mathematik
Universität Bielefeld