Gröbner basis, Mordell-Weil lattices and deformation of singularities. I

DOI10.3792/pjaa.86.21zbMath1183.14050OpenAlexW2069547131MaRDI QIDQ963132

Tetsuji Shioda

Publication date: 8 April 2010

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

Full work available at URL: https://doi.org/10.3792/pjaa.86.21

zbMATH Keywords

Gröbner basisdeformation of singularitiesintegral sectionMordell-Weil lattice

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Elliptic curves over global fields (11G05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (4)

Multiplicative excellent family of type \(E_6\) ⋮ Deformation of integral sections in the Mordell-Weil group ⋮ Gröbner basis, Mordell-Weil lattices and deformation of singularities. II ⋮ Some explicit integral polynomials with Galois group \(W(E_8)\)

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• Gröbner basis, Mordell-Weil lattices and deformation of singularities. II
• Construction of elliptic curves with high rank via the invariants of the Weyl groups
• Existence of a rational elliptic surface with a given Mordell-Weil lattice
• On compact analytic surfaces. III
• On compact analytic surfaces. II
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Lectures on Curves on an Algebraic Surface. (AM-59)

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