S5-invariant Nonsingular Quartic Surfaces

2016/05/27 by Giorgio Faina, Faina, Giorgio, Stefano Marcugini Fernanda Pambianco +3
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1605.08720

openalex publication_date 2016/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

All S5-invariant nonsingular quartic surfaces are obtained. There exist no A6- invariant nonsingular quartic surfaces.

Related

• Classification of simple quartics up to equisingular deformation
• Projective Automorphism Groups of Nonsingular Quartic Surfaces
• Deformation Classification of Quartic Surfaces with Simple Singularities
• Unirationality of certain supersingular K3 surfaces in characteristic 5
• Non-rationality of the S₆-symmetric quartic threefolds