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Some simple elliptic surfaces of genus zero

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Publication:1191498
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DOI10.1007/BF02567626zbMath0762.11025MaRDI QIDQ1191498

Andrew Bremner

Publication date: 27 September 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155652


zbMATH Keywords

function fieldselliptic curvesintegral pointsintegral solutions


Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Special algebraic curves and curves of low genus (14H45) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25) Special surfaces (14J25)


Related Items

Using elliptic curves to produce quadratic number fields of high three-rank



Cites Work

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  • Mordell-Weil lattices and Galois representation. I
  • The Galois representation of type \(E_8\) arising from certain Mordell-Weil groups
  • Intersection numbers of sections of elliptic surfaces
  • On compact analytic surfaces. III
  • On elliptic modular surfaces
  • On elliptic surfaces of Mordell-Weil rank 4
  • Computing Heights on Elliptic Curves
  • A Mordell-Weil group of rank 8, and a subgroup of finite index
  • The Tate height of points on an abelian variety. Its variants and applications
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