Birational automorphisms of quartic Hessian surfaces

DOI10.1090/S0002-9947-02-03011-8zbMath0994.14007arXivmath/0103186OpenAlexW1870323192MaRDI QIDQ4529726

Igor V. Dolgachev, Jong Hae Keum

Publication date: 6 May 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103186

zbMATH Keywords

Leech latticeK3 surfaceLeech rootsgroup of birational automorphismsquartic Hessian surfaces

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) (K3) surfaces and Enriques surfaces (14J28) Automorphisms of surfaces and higher-dimensional varieties (14J50) Automorphism groups of lattices (11H56)

Related Items

ORBIT PARAMETRIZATIONS FOR K3 SURFACES, Enriques Surfaces Covered by Jacobian Kummer Surfaces, K3 and Enriques Surfaces, The moduli space of Hessian quartic surfaces and automorphic forms, Hutchinson-Weber involutions degenerate exactly when the Jacobian is Comessatti, Holes of the Leech lattice and the projective models of K3 surfaces, On an Enriques Surface Associated With a Quartic Hessian Surface, Hessian \(K3\) surfaces of non-Sylvester type, Salem Numbers and Enriques Surfaces, Kummer's quartics and numerically reflective involutions of Enriques surfaces, The elliptic modular surface of level 4 and its reduction modulo 3, Reflection groups in algebraic geometry

Cites Work

• Automorphism groups of Lorentzian lattices
• Enriques surfaces. I
• A representation of the Mathieu group \(M_{24}\) as a collineation group
• The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
• Reye Congruences
• Every algebraic Kummer surface is the K3-cover of an Enriques surface
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