Diophantine geometry and toric varieties

Details Diophantine geometry and toric varieties Diophantine geometry and toric varieties

2005-01-18

arxiv.org/abs/math/0501277v1

Mathematics

Algebraic Geometry

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

Scientific paper

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 B\'ezout
theorem for the Chow weights of projective varieties and an application to the
theorem of successive minima.

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