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Diophantine geometry and toric varieties

Patrice Philippon·Martin Sombra
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Abstract

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.

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Patrice Philippon, Martin Sombra. 2005-01-18. Diophantine geometry and toric varieties. https://arxiv.org/abs/math/0501277

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