On combinatorial coefficients and the Gelfond-Khovanskii residue formula

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dc.creatorSoprounov, Ivan
dc.date2003-10-11
dc.date.accessioned2026-07-07T05:01:49Z
dc.date.available2026-07-07T05:01:49Z
dc.descriptionThe Gelfond-Khovanskii residue formula computes the sum of the values of any Laurent polynomial over solutions of a system of Laurent polynomial equations whose Newton polytopes have sufficiently general relative position. We discuss two important consequences of this result: an explicit elimination algorithm for such systems and a new formula for the mixed volume. The integer coefficients that appear in the Gelfond-Khovanskii residue formula are geometric invariants that depend only on combinatorics of the polytopes. We explain how to compute them explicitly.
dc.description7 pages, 2 figures (.eps) To appear in the Procedings of the Workshop on Geometric Modeling and Algebraic Geometry, Vilnius, Lithuania, August 2002
dc.identifierhttps://arxiv.org/abs/math/0310168
dc.identifierhttp://arxiv.org/abs/math/0310168
dc.identifierTopics in algebraic geometry and geometric modeling, 343--349, Contemp. Math., 334, AMS 2003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68820
dc.subjectAlgebraic Geometry
dc.subject14M25, 52B11
dc.titleOn combinatorial coefficients and the Gelfond-Khovanskii residue formula
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