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arXiv · 0812.4688

Algebraic equations and convex bodies

Kiumars Kaveh·A. G. Khovanskii
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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.

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Kiumars Kaveh, A. G. Khovanskii. 2008-12-26. Algebraic equations and convex bodies. https://arxiv.org/abs/0812.4688

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