Explicit -descent for elliptic curves in characteristic
J. F. Voloch (1990)
Compositio Mathematica
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Displaying similar documents to “The field of definition of the Mordell-Weil group of an elliptic curve over a function field”
Explicit -descent for elliptic curves in characteristic
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Bas Edixhoven (1993-1994)
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Torsion Points on Elliptic Curves over a Global Field.
Horst G. Zimmer (1979)
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Torsion points on elliptic curves over all quadratic fields. II
Sheldon Kamienny (1986)
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Bounds for the order of the Tate-Shafarevich group
Dorian Goldfeld, Lucien Szpiro (1995)
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Daniel Sion Kubert (1979)
Compositio Mathematica
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Galois theory and torsion points on curves
Matthew H. Baker, Kenneth A. Ribet (2003)
Journal de théorie des nombres de Bordeaux
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In this paper, we survey some Galois-theoretic techniques for studying torsion points on curves. In particular, we give new proofs of some results of A. Tamagawa and the present authors for studying torsion points on curves with “ordinary good” or “ordinary semistable” reduction at a given prime. We also give new proofs of : (1) the Manin-Mumford conjecture : there are only finitely many torsion points lying on a curve of genus at least embedded in its jacobian by an Albanese map;...
Units from 3- and 4-torsion on jacobians of curves of genus 2
David Grant (1994)
Compositio Mathematica
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