Tritangents to smooth sextic curves

DOI10.5802/aif.3491zbMath1497.14071arXiv1909.05657OpenAlexW2972350053MaRDI QIDQ2087366

Alexander Degtyarev

Publication date: 27 October 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05657

zbMATH Keywords

\(K3\) surfaceNiemeier latticesextic curvetritangent

Mathematics Subject Classification ID

Plane and space curves (14H50) (K3) surfaces and Enriques surfaces (14J28) Varieties of low degree (14N25) Configurations and arrangements of linear subspaces (14N20)

Related Items (1)

Conics on Kummer quartics

Uses Software

• GAP
• nauty
• Traces

Cites Work

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• Counting lines on quartic surfaces
• The maximum number of lines lying on a \(K3\) quartic surface
• On a smooth quartic surface containing 56 lines which is isomorphic as a \(K3\) surface to the Fermat quartic
• Finite groups of automorphisms of K3 surfaces and the Mathieu group
• Smooth models of singular \(K3\)-surfaces
• Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of \(K3\) surfaces. With an appendix by Shigeru Mukai
• Lines in supersingular quartics
• Lines on smooth polarized \(K3\)-surfaces
• 64 lines on smooth quartic surfaces
• Lines on quartic surfaces
• Practical graph isomorphism. II.
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• AT MOST 64 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 2)
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• 112 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 3): Table 1
• Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups
• Projective Models of K - 3 Surfaces
• Lines on K3 Quartic Surfaces in Characteristic 2
• THE MAXIMUM NUMBER OF LINES LYING ON A QUARTIC SURFACE

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