Automorphism groups of Inoue surfaces S⁽⁺⁾/S^(-)

2025/09/08 by David Petcu, Petcu, David
Mathematics · #32J18 (Secondary) #53C55 (Primary) 22E25 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2509.06860

openalex publication_date 2025/09/08 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

We present the construction of Inoue surfaces of type S⁽⁺⁾/S^(-) in terms of data arising from real quadratic number fields. We then describe the automorphism group of such surfaces in terms of this data.

Citations

• Automorphism groups of Inoue and Kodaira surfaces

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