scientific article; zbMATH DE number 7809958

arXiv1908.09578MaRDI QIDQ6121734

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Publication date: 27 February 2024

Full work available at URL: https://arxiv.org/abs/1908.09578

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zbMATH Keywords

\(K3\) surfacesNikulin involutionsJacobian elliptic fibrations

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Cites Work

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• Some free algebras of automorphic forms on symmetric domains of type IV
• Kummer sandwich theorem of certain elliptic \(K3\) surfaces
• Nikulin involutions on \(K3\) surfaces
• Automorphisms of algebraic K3 surfaces which act trivially on Picard groups
• Theta functions on the bounded symmetric domain of type \(I_{2,2}\) and the period map of a 4-parameter family of K3 surfaces
• Elliptic fibrations on covers of the elliptic modular surface of level 5
• Mirror symmetry for lattice polarized \(K3\) surfaces
• Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
• Elliptic fibrations on \(K3\) surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus
• Van Geemen-Sarti involutions and elliptic fibrations on \(K3\) surfaces double cover of \(\mathbb{P}^2\)
• Six line configurations and string dualities
• On \(K3\) surfaces with large complex structure
• Modular invariants for lattice polarized \(K3\) surfaces
• Classification of all Jacobian elliptic fibrations on certain \(K3\) surfaces
• Note on a Geometric Isogeny of K3 Surfaces
• Algebraic K3 surfaces with finite automorphism groups
• On elliptic \(K3\) surfaces.

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