Cubic surfaces with infinite, discrete automorphism group

2024/10/04 by Janós Kollár, Kollár, János, David Villalobos-Paz +1 · 2 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2410.03934

openalex publication_date 2024/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the automorphism group of an affine, cubic surface with equation xyz=g(x,y) contains \mathbb Z as a finite index subgroup. These equations were first studied by Mordell. v.2: small changes, references updated.

Cited by

• Fermat near misses and the integral Hilbert Property
• Brauer groups of certain affine cubic surfaces

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