Diophantine geometry and toric varieties
Algebraic Geometry
2007-05-23 v1 Number Theory
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 B\'ezout theorem for the Chow weights of projective varieties and an application to the theorem of successive minima.
Cite
@article{arxiv.math/0501277,
title = {Diophantine geometry and toric varieties},
author = {Patrice Philippon and Martin Sombra},
journal= {arXiv preprint arXiv:math/0501277},
year = {2007}
}
Comments
Submitted to the C. R. Acad. Sci. Paris; in French