Automorphisms of Salem degree 22 on supersingular K3 surfaces of higher Artin invariant

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Simon Brandhorst

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OriginalspracheEnglisch
Seiten (von - bis)1143-1150
Seitenumfang8
FachzeitschriftMathematical research letters
Jahrgang25
Ausgabenummer4
PublikationsstatusVeröffentlicht - 16 Nov. 2018

Abstract

We give a short proof that every supersingular K3 surface (except possibly in characteristic 2 with Artin invariant σ = 10) has an automorphism of Salem degree 22. In particular an infinite subgroup of the automorphism group does not lift to characteristic zero. The proof relies on the case σ = 1 and the cone conjecture for K3 surfaces.

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Automorphisms of Salem degree 22 on supersingular K3 surfaces of higher Artin invariant. / Brandhorst, Simon.
in: Mathematical research letters, Jahrgang 25, Nr. 4, 16.11.2018, S. 1143-1150.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Brandhorst S. Automorphisms of Salem degree 22 on supersingular K3 surfaces of higher Artin invariant. Mathematical research letters. 2018 Nov 16;25(4):1143-1150. doi: 10.48550/arXiv.1609.02348, 10.4310/mrl.2018.v25.n4.a4
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