scientific article; zbMATH DE number 1467773
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Publication:4488117
zbMath0972.11052MaRDI QIDQ4488117
Publication date: 25 November 2001
Full work available at URL: http://www.numdam.org/item?id=ASNSP_2000_4_29_1_101_0
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Rational points (14G05) Counting solutions of Diophantine equations (11D45) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)
Related Items (13)
Uniformity in Mordell-Lang for curves ⋮ The number of rational points on a curve of genus at least two ⋮ A consequence of the relative Bogomolov conjecture ⋮ Basics on the theory of heights and its applications to certain Diophantine problems ⋮ A polynomial approach to Faltings's theorem ⋮ Semi-effective height bound for the Mordell-Lang problem in an abelian variety ⋮ Approximation diophantienne sur les variétés semi-abéliennes ⋮ Generalized Vojta–Rémond inequality ⋮ Adelic geometry of numbers and generalized Siegel lemmas ⋮ Inégalité de Vojta généralisée ⋮ Unlikely intersections with isogeny orbits in a product of elliptic schemes ⋮ Semi-effective bound on the height for the Mordell-Lang problem in a torus ⋮ Measures of simultaneous approximation for quasi-periods of Abelian varieties
Cites Work
- Diophantine approximation on abelian varieties
- Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
- Diophantine approximation and abelian varieties. Introductory lectures. Papers of the conference, held in Soesterberg, Netherlands, April 12-16, 1992
- Rational points on families of curves with genus at least 2
- On alternative heights. III
- Heights of Projective Varieties and Positive Green Forms
- A Remark on Mordell's Conjecture
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