Notes on automorphisms of surfaces of general type with p_g=0 and K²=7

2014/08/10 by Yifan Chen, Chen, Yifan · 1 citation
Mathematics · #14J29 #14J50 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1408.2254

openalex publication_date 2014/08/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let S be a smooth minimal complex surface of general type with p_g=0 and K²=7. We prove that any involution on S is in the center of the automorphism group of S. As an application, we show that the automorphism group of an Inoue surface with K²=7 is isomorphic to ℤ₂² or ℤ₂ × ℤ₄. We construct a 2-dimensional family of Inoue surfaces with automorphism groups isomorphic to ℤ₂ × ℤ₄.

Citations

• Automorphisms of numerical Godeaux surfaces with torsion of order 3, 4, or 5

Cited by

• Smooth minimal surfaces of general type with p_g=0, K²=7 and involutions

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