A special configuration of 12 conics and generalized Kummer surfaces

DOI10.1007/s00229-021-01334-2zbMath1503.14035arXiv2004.11421OpenAlexW3195389853MaRDI QIDQ2084280

Alessandra Sarti, Xavier Roulleau, David R. Kohel

Publication date: 18 October 2022

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11421

zbMATH Keywords

\(K3\) surfacegeneralized Kummer

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28)

Related Items

Chilean configuration of conics, lines and points, Conic-line arrangements in the complex projective plane, Number of Kummer structures and moduli spaces of generalized Kummer surfaces, Sextactic points on the Fermat cubic curve and arrangements of conics

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hesse pencil of plane cubic curves
• Réseaux de Kummer et surfaces K3. (Kummer lattices and K3 surfaces)
• \(K3\) surfaces with nine cusps
• A family of abelian surfaces and curves of genus four
• The Magma algebra system. I: The user language
• Construction of Nikulin configurations on some Kummer surfaces and applications
• On K3 surfaces with large Picard number
• Explicit Nikulin configurations on Kummer surfaces
• On elliptic modular surfaces
• Lectures on K3 Surfaces
• Transcendental lattices of some K 3-surfaces
• Oka's conjecture on irreducible plane sextics
• Projective Models of K - 3 Surfaces
• Minimal Siegel modular threefolds
• Chilean configuration of conics, lines and points
• On the geometry of K3 surfaces with finite automorphism group and no elliptic fibrations
• On elliptic \(K3\) surfaces.