Van Geemen-Sarti involutions and elliptic fibrations on \(K3\) surfaces double cover of \(\mathbb{P}^2\)

DOI10.2969/jmsj/06620479zbMath1298.14038arXiv1110.6380OpenAlexW2964297994MaRDI QIDQ2248628

Alice Garbagnati, Paola Comparin

Publication date: 27 June 2014

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6380

zbMATH Keywords

automorphismelliptic fibrations\(K3\) surfacesisogeniessymplectic involutions

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 (13)

Non-symplectic automorphisms of order 3, 4, and 6 ofK3 surfaces with smooth quotient ⋮ Fields of Definition of Elliptic Fibrations on Covers of Certain Extremal Rational Elliptic Surfaces ⋮ Linear systems on rational elliptic surfaces and elliptic fibrations on \(K3\) surfaces ⋮ Apéry-Fermi pencil of \(K3\)-surfaces and 2-isogenies ⋮ On Néron-Severi lattices of Jacobian elliptic \(K3\) surfaces ⋮ Counting elliptic fibrations on \(\mathrm{K}3\) surfaces ⋮ \(W = 0\) complex structure moduli stabilization on CM-type \(\mathrm{K}3 \times \mathrm{K}3\) orbifolds: arithmetic, geometry and particle physics ⋮ Unnamed Item ⋮ Elliptic fibrations on \(K3\) surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus ⋮ Double cover \(K3\) surfaces of Hirzebruch surfaces ⋮ Classifications of Elliptic Fibrations of a Singular K3 Surface ⋮ Nikulin involutions and the CHL string ⋮ Six line configurations and string dualities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves
• Nikulin involutions on \(K3\) 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
• Weierstrass equations for Jacobian fibrations on a certain \(K3\) surface
• On symplectic and non-symplectic automorphisms of \(K3\) surfaces
• Symplectic automorphisms of prime order on \(K3\) surfaces
• Classification of all Jacobian elliptic fibrations on certain \(K3\) surfaces
• Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
• Elliptic K3 surfaces admitting a Shioda-Inose structure
• Elliptic Fibrations on the Modular Surface Associated to Γ 1(8)
• Note on a Geometric Isogeny of K3 Surfaces
• Elliptic Fibrations and Symplectic Automorphisms on K3 Surfaces
• Sandwich theorems for Shioda-Inose structures
• AN ISOGENY OF K3 SURFACES
• On elliptic \(K3\) surfaces.

This page was built for publication: Van Geemen-Sarti involutions and elliptic fibrations on \(K3\) surfaces double cover of \(\mathbb{P}^2\)