On Shioda-Inose structures of one-parameter families of \(K3\) surfaces

DOI10.1016/j.jnt.2004.06.009zbMath1100.14520OpenAlexW2017393435MaRDI QIDQ1764000

Ling Long

Publication date: 22 February 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.06.009

zbMATH Keywords

isogenyelliptic curvecomplex multiplicationPicard-Fuchs equationmonodromy representation

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (K3) surfaces and Enriques surfaces (14J28) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Families, moduli, classification: algebraic theory (14J10)

Related Items (5)

Modularity of Calabi–Yau Varieties: 2011 and Beyond ⋮ Four rational squares in arithmetic progressions and a family of elliptic curves with positive Mordell-Weil rank ⋮ Symplectic automorphisms of prime order on \(K3\) surfaces ⋮ Hypergeometric functions over finite fields ⋮ On conjectures of Samart

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On certain elliptic surfaces with maximal Picard number
• Finiteness theorems for abelian varieties over number fields.
• Differential equations associated with elliptic surfaces
• Mirror symmetry for lattice polarized \(K3\) surfaces
• On K3 surfaces with large Picard number
• On compact analytic surfaces. III
• On elliptic modular surfaces
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Monodromy and Picard-Fuchs equations for families of $K3$-surfaces and elliptic curves
• Formal Group Laws Arising from Algebraic Varieties
• On Rational Triangles
• Zeta functions of an infinite family of K3 surfaces
• Mirror maps, modular relations and hypergeometric series. II

This page was built for publication: On Shioda-Inose structures of one-parameter families of \(K3\) surfaces