scientific article; zbMATH DE number 1404145
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Publication:4937826
zbMath1002.11055MaRDI QIDQ4937826
Patrice Philippon, Sinnou David
Publication date: 31 October 2002
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1999_4_28_3_489_0
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heightexplicit lower boundsalgebraic subvarietyabsolute Siegel lemmaarithmetic Hilbert functionheights of pointstorsion subvariety
Varieties over global fields (11G35) Heights (11G50) Transcendence (general theory) (11J81) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Results involving abelian varieties (11J95)
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Cites Work
- On Siegel's lemma
- Sur des hauteurs alternatives. I. (On alternative heights. I)
- Equidistribution of small points on abelian varieties
- Positivity and discretion of algebraic points of curves
- Diophantine approximations and diophantine equations
- Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique
- Le problème de Lehmer en dimension supérieure
- Heights of Projective Varieties and Positive Green Forms
- Minoration de la hauteur normalisée des hypersurfaces
- Positive Line Bundles on Arithmetic Varieties
- An effective lower bound for the height of algebraic numbers
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