Cubic surfaces with infinite, discrete automorphism group

Fuente: arXiv
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Autori principali: Kollár, János, Villalobos-Paz, David
Natura: Preprint
Pubblicazione: 2024
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author Kollár, János
Villalobos-Paz, David
author_facet Kollár, János
Villalobos-Paz, David
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_03934
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cubic surfaces with infinite, discrete automorphism group
Kollár, János
Villalobos-Paz, David
Algebraic Geometry
Number Theory
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.
title Cubic surfaces with infinite, discrete automorphism group
topic Algebraic Geometry
Number Theory
url https://arxiv.org/abs/2410.03934