K3 surfaces with an automorphism of order 11

2012/08/21 by Matthias Schuett, Schuett, Matthias
Mathematics · #14G10 #14J27 #14J28 #14J50 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1208.4242

openalex publication_date 2012/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper concerns K3 surfaces with automorphisms of order 11 in arbitrary characteristic. Specifically we study the wild case and prove that a general such surface in characteristic 11 has Picard number 2. We also construct K3 surfaces with an automorphism of order 11 in every characteristic, and supersingular K3 surfaces whenever possible.

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