Automorphisms of elliptic K3 surfaces and Salem numbers of maximal degree

2014/11/04 by Hélène Esnault, Keiji Oguiso, Esnault, Hélène +3 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1411.0769

openalex publication_date 2014/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using elliptic structures, we show that any supersingular K3 surface of Artin invariant 1 in characteristic p \not= 5, 7, 13 has an automorphism the entropy of which is the natural logarithm of a Salem number of degree 22.

Cited by

• Non-liftability of automorphism groups of a K3 surface in positive\n characteristic
• Elliptic fibrations on K3 surfaces and Salem numbers of maximal degree

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