A refinement of the Bernstein-Kushnirenlo estimate
Idioma
en
Article de revue
Este ítem está publicado en
Advances in Mathematics. 2008 n° 218, p. 1370-1418
Elsevier
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
System of polynomial equations
Newton polytope
sup-convolution
mixed
integral
toric variety over a curve
mixed degree
Chow weight
Orígen
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