\(K3\) surfaces and sphere packings

DOI10.2969/jmsj/06041083zbMath1178.14038OpenAlexW2044204381MaRDI QIDQ998934

Tetsuji Shioda

Publication date: 30 January 2009

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

Full work available at URL: https://doi.org/10.2969/jmsj/06041083

zbMATH Keywords

\(K3\) surfacesMordell-Weil latticesNéron-Severi lattices

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Jacobians, Prym varieties (14H40) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (9)

Zariski-van Kampen method and transcendental lattices of certain singular \(K3\) surfaces ⋮ Elliptic fibrations of maximal rank on a supersingular K3 surface ⋮ Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces ⋮ The complex ball-quotient structure of the moduli space of certain sextic curves ⋮ Hashing to elliptic curves of \(j=0\) and Mordell-Weil groups ⋮ Nongeometric heterotic strings and dual F-theory with enhanced gauge groups ⋮ Structure of stable degeneration of \(K3\) surfaces into pairs of rational elliptic surfaces ⋮ Elliptic K3 Surfaces with Abelian and Dihedral Groups of Symplectic Automorphisms ⋮ ELLIPTIC K3 SURFACES ASSOCIATED WITH THE PRODUCT OF TWO ELLIPTIC CURVES: MORDELL–WEIL LATTICES AND THEIR FIELDS OF DEFINITION

Cites Work

• Kummer sandwich theorem of certain elliptic \(K3\) surfaces
• A note on \(K3\) surfaces and sphere packings
• On K3 surfaces with large Picard number
• On compact analytic surfaces. II
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• On elliptic \(K3\) surfaces.
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