Multiplicative excellent family of type \(E_6\)

DOI10.3792/pjaa.88.46zbMath1297.14042OpenAlexW2004071200MaRDI QIDQ431731

Tetsuji Shioda

Publication date: 30 June 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1330958576

zbMATH Keywords

Weyl groupcubic surfaceMordell-Weil lattices

Mathematics Subject Classification ID

Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Cites Work

• Configurations of Kodaira fibers on rational elliptic surfaces
• Gröbner basis, Mordell-Weil lattices and deformation of singularities. I
• Gröbner basis, Mordell-Weil lattices and deformation of singularities. II
• Construction of elliptic curves with high rank via the invariants of the Weyl groups
• Seiberg-Witten curve for \(E\)-string theory revisited
• A uniform construction of the root lattices \(E_ 6,E_ 7,E_ 8\) and their dual lattices
• Existence of a rational elliptic surface with a given Mordell-Weil lattice
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