Quartic surfaces with icosahedral symmetry
Igor Dolgachev
TL;DR
This paper investigates quartic surfaces exhibiting icosahedral symmetry, exploring their geometric properties and automorphism groups to deepen understanding of symmetric algebraic surfaces.
Contribution
It characterizes quartic surfaces with icosahedral symmetry and analyzes their automorphism groups, providing new insights into symmetric algebraic geometry.
Findings
Identification of specific quartic surfaces with icosahedral symmetry
Classification of automorphism groups for these surfaces
New examples of symmetric algebraic surfaces
Abstract
We study quartic surfaces that admit a group of projective automorphisms isomorphic to icosahedron group.
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