A note on elliptic k3 surfaces

DOI10.1090/S0002-9947-99-02587-8zbMath0941.14012OpenAlexW1733774725MaRDI QIDQ4942871

Jong Hae Keum

Publication date: 15 March 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02587-8

zbMATH Keywords

Jacobianelliptic fibrationPicard latticeelliptic K3 surface

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (9)

On the duality of F-theory and the CHL string in seven dimensions ⋮ Apéry-Fermi pencil of \(K3\)-surfaces and 2-isogenies ⋮ Double covers of Kummer surfaces ⋮ Odd torsion Brauer elements and arithmetic of diagonal quartic surfaces over number fields ⋮ Nongeometric heterotic strings and dual F-theory with enhanced gauge groups ⋮ \(K3\) surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers ⋮ The moduli of singular curves on \(K3\) surfaces ⋮ Fundamental groups of open \(K3\) surfaces, Enriques surfaces and Fano 3-folds ⋮ Symmetries of order four on \(K3\) surfaces

Cites Work

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• The two most algebraic K3 surfaces
• On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves
• Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1
• Enriques surfaces. I
• On K3 surfaces with large Picard number
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• PICARD LATTICES OF FAMILIES OF K3 SURFACES
• Two extremal elliptic fibrations on Jacobian Kummer surfaces

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