Diophantine geometry and toric varieties

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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.
Submitted to the C. R. Acad. Sci. Paris; in French

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Algebraic Geometry, Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/73886

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501277
 http://arxiv.org/abs/math/0501277

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arXiv