Automorphisms of Minimal Surfaces of General Type with K_S² = 1, p_g = 2

2021/01/26 by David Wen, Wen, David · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2101.10656

openalex publication_date 2021/01/26 · openalex created_date 2021/02/01 · openalex updated_date 2026/07/28

Abstract

We classify the automorphism group of minimal surfaces of general type with K_S² = 1 and ρ_g = 2. Furthermore, we show that the order of the automorphism group is bounded above by 200 and can only have prime factors p ≤ 31 with p ≠ 29.

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