On the geometry of singular \(K3\) surfaces with discriminant 3, 4 and 7

DOI10.2996/kmj/kmj45110zbMath1491.14057arXiv1903.03054OpenAlexW2921048316MaRDI QIDQ2134239

Taiki Takatsu

Publication date: 6 May 2022

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03054

zbMATH Keywords

\(K3\) surfaceslattice theorysingular \(K3\) surfacesautomorphism groups of \(K3\) surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Cites Work

• The two most algebraic K3 surfaces
• Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
• On K3 surfaces with large Picard number
• On compact analytic surfaces. III
• On elliptic modular surfaces
• The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
• The automorphism group of the singular K3 surface of discriminant 7
• An Algorithm to Compute Automorphism Groups of K3 Surfaces and an Application to Singular K3 Surfaces
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• On the Torelli problem for kählerian $K-3$ surfaces
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3
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