Automorphism groups of cubic surfaces
type: Item
instance of: scholarly article
title: Automorphism groups of cubic surfaces
zbMATH Open document ID: 0910.14021
author: Toshio Hosoh
published in: Journal of Algebra
publication date: 1999-04-20T00:00:00Z
review text: The automorphism group of a generic cubic surface is trivial [\textit{M. Koitabashi}, J. Algebra 116, No. 1, 130-142 (1988; Zbl 0663.14033)]. In this article, we determine the automorphism group of each non-singular cubic surface. B. Segre gave the list of nontrivial automorphism groups of cubic surfaces [\textit{B. Segre}, ``The nonsingular cubic surfaces'' (1942); pp. 147-152]. But his list is incomplete and descriptions of some groups are incorrect. He treats equations of cubic surfaces and his arguments are geometric. We do not treat any equation and our method is computational.
Mathematics Subject Classification ID: 14J50
Mathematics Subject Classification ID: 14E07
zbMATH DE Number: 1038261
zbMATH Keywords: automorphism group
zbMATH Keywords: non-singular cubic surface
MaRDI profile type: Publication
OpenAlex ID: W2013328694
cites work: Q5686226
cites work: Q4143433
cites work: Automorphism groups of quartic del Pezzo surfaces
cites work: Automorphism groups of generic rational surfaces
cites work: Q4402061
cites work: Cross Ratio Variety as a Moduli Space of Cubic Surfaces
DOI: 10.1006/JABR.1996.6968
description: scientific article; zbMATH DE number 1038261