Algebraic equations and convex bodies

Details Algebraic equations and convex bodies Algebraic equations and convex bodies

2008-12-26

arxiv.org/abs/0812.4688v1

Mathematics

Algebraic Geometry

16 pages. To appear in the conference volume in honor of Oleg Y. Viro

Scientific paper

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.

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