scientific article

zbMath0715.14027MaRDI QIDQ3202232

José Felipe Voloch

Publication date: 1990

Full work available at URL: http://www.numdam.org/item?id=CM_1990__74_3_247_0

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zbMATH Keywords

integral pointselliptic curve over function fieldcurve in characteristic pp-descent

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves (14H52) Finite ground fields in algebraic geometry (14G15)

Related Items (10)

Differential characters of abelian varieties over \(p\)-adic fields ⋮ On the 𝑝^{𝑒}-torsion of elliptic curves and elliptic surfaces in characteristic 𝑝 ⋮ Strong Weil curves over \(\mathbb F_q(T)\) with small conductor ⋮ Local-global principles for Weil–Châtelet divisibility in positive characteristic ⋮ Fast algorithms for computing isogenies between ordinary elliptic curves in small characteristic ⋮ Equidistribution and integral points for Drinfeld modules ⋮ Elliptic Wieferich primes ⋮ \(p\)-descent in characteristic \(p\) ⋮ On the conjectures of Mordell and Lang in positive characteristics ⋮ Torsion points on elliptic curves over function fields and a theorem of Igusa

Cites Work

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• Manin's proof of the Mordell conjecture over function fields
• The Hasse invariant and p-division points of an elliptic curve
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• THE ARTIN EFFECT IN ELLIPTIC CURVES. I
• Elliptic Curves Over Function Fields and the Picard Number
• Two-Descent for Elliptic Curves in Characteristic Two
• Rational points of algebraic curves over function fields
• Elements of Order P in the Tate-šafarevič Group

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