A refinement of the Bernstein-Kushnirenlo estimate
Language
en
Article de revue
This item was published in
Advances in Mathematics. 2008 n° 218, p. 1370-1418
Elsevier
English Abstract
A theorem of Kushnirenko and Bernshtein shows that the number of isolated roots in the torus of a system of polynomials is bounded above by the mixed volume of the Newton polytopes of the given polynomials, and that this ...Read more >
A theorem of Kushnirenko and Bernshtein shows that the number of isolated roots in the torus of a system of polynomials is bounded above by the mixed volume of the Newton polytopes of the given polynomials, and that this upper bound is generically exact. We improve on this result by introducing refined combinatorial invariants of polynomials and a generalization of the mixed volume of convex bodies: the mixed integral of concave functions.Read less <
English Keywords
System of polynomial equations
Newton polytope
sup-convolution
mixed
integral
toric variety over a curve
mixed degree
Chow weight
Origin
Hal imported