Double cover \(K3\) surfaces of Hirzebruch surfaces

DOI10.1515/advgeom-2020-0034zbMath1466.14046OpenAlexW3153479240MaRDI QIDQ2035028

Taro Hayashi

Publication date: 23 June 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2020-0034

zbMATH Keywords

\(K3\) surfaceHirzebruch surfacenon-symplectic involution

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)

Related Items (3)

Non-symplectic automorphisms of order 3, 4, and 6 ofK3 surfaces with smooth quotient ⋮ Quotient spaces of \(\mathrm{K}3\) surfaces by non-symplectic involutions fixing a curve of genus 8 or more ⋮ Finite abelian groups of \(K3\) surfaces with smooth quotient

Cites Work

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• Smooth quotients of bi-elliptic surfaces
• Enriques surfaces and Jacobian elliptic \(K3\) surfaces
• Linear systems on rational elliptic surfaces and elliptic fibrations on \(K3\) surfaces
• Van Geemen-Sarti involutions and elliptic fibrations on \(K3\) surfaces double cover of \(\mathbb{P}^2\)
• Classification of all Jacobian elliptic fibrations on certain \(K3\) surfaces
• Elliptic Surfaces
• On Cox rings of K3 surfaces
• Galois coverings of the product of the projective lines by abelian surfaces
• Real K3 surfaces with non-symplectic involution and applications

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