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math.AG2008
Algebraic equations and convex bodies
Kiumars Kaveh, A. G. Khovanskii
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-r…
math.AG2008★ 3 cited
Mixed volume and an extension of intersection theory of divisors
Kiumars Kaveh, A. G. Khovanskii
Let K(X) be the collection of all non-zero finite dimensional subspaces of rational functions on an n-dimensional irreducible variety X. For any n-tuple L_1,..., L_n in K(X), we de…