Quartic surfaces with icosahedral symmetry

DOI10.1515/advgeom-2017-0040zbMath1429.14023arXiv1604.02567OpenAlexW2963229057MaRDI QIDQ1707432

Igor V. Dolgachev

Publication date: 29 March 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02567

zbMATH Keywords

quartic surfaceicosahedron group

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Families, moduli, classification: algebraic theory (14J10) Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (4)

Invariant smooth quartic surfaces by all finite primitive subgroups of \(\mathrm{PGL}_4 (\mathbb{C})\) ⋮ Geometry of the Wiman-Edge pencil. I: Algebro-geometric aspects ⋮ Finite collineation groups and birational rigidity ⋮ \(K3\) surfaces with maximal finite automorphism groups containing \(M_{20}\)

Cites Work

• Quartic double solids with icosahedral symmetry
• Geometry and arithmetic of Maschke's Calabi-Yau three-fold
• Finite groups of automorphisms of K3 surfaces and the Mathieu group
• Degenerations of Horrocks-Mumford surfaces
• TWO RATIONAL NODAL QUARTIC 3-FOLDS
• Vector bundles and the icosahedron
• Fields of Invariants of Finite Linear Groups
• Reye Congruences
• From qubits to E7
• Period map of a certain K3 family with an 𝔖5-action
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