Algebraic equations and convex bodies
Algebraic Geometry
2008-12-31 v1
Abstract
The well-known Bernstein-Kushnirenko theorem from the theory of Newton polyhedra relates algebraic geometry and the theory of mixed volumes. Recently the authors have found a far-reaching generalization of this theorem to generic systems of algebraic equations on any quasi-projective variety. In the present note we review these results and their applications to algebraic geometry and convex geometry.
Cite
@article{arxiv.0812.4688,
title = {Algebraic equations and convex bodies},
author = {Kiumars Kaveh and A. G. Khovanskii},
journal= {arXiv preprint arXiv:0812.4688},
year = {2008}
}
Comments
16 pages. To appear in the conference volume in honor of Oleg Y. Viro