The tame automorphism group of an affine quadric threefold acting on a square complex

DOI10.5802/jep.8zbMath1320.14059arXiv1312.6153OpenAlexW2134330531MaRDI QIDQ487726

Cinzia Bisi, Jean-Philippe Furter, Stéphane Lamy

Publication date: 23 January 2015

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6153

zbMATH Keywords

automorphism groupTits alternativecube complexaffine quadric

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Geometric group theory (20F65) Group actions on affine varieties (14R20) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (7)

Tits-type alternative for certain groups acting on algebraic surfaces ⋮ Automorphisms of certain affine complements in projective space ⋮ Degree growth for tame automorphisms of an affine quadric threefold ⋮ Hyperbolicities in CAT(0) cube complexes ⋮ Embeddings of affine spaces into quadrics ⋮ Combinatorics of the tame automorphism group ⋮ Almost a building for the tame automorphism group

Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:4248035 Une remarque sur la g�n�ration du groupe de Cremona]
• The Tits alternative for \(\text{Aut}[\mathbb C^2\)]
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