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Article Dans Une Revue Comptes rendus de l'Académie des sciences. Série I, Mathématique Année : 2005

Diophantine geometry and toric varieties

Résumé

We present some results on projective toric varieties which are relevant in Diophantine geometry. We interpret and study several invariants attached to these varieties in geometrical and combinatorial terms. We also give a Bézout theorem for the Chow weights of projective varieties and an application to the theorem of successive minima.

Dates et versions

hal-00131675 , version 1 (17-02-2007)

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Citer

Patrice Philippon, Martin Sombra. Diophantine geometry and toric varieties. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2005, 340, pp.507-512. ⟨hal-00131675⟩
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