Mixed multiplicities of ideals versus mixed volumes of polytopes

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dc.creatorTrung, Ngo Viet
dc.creatorVerma, Jugal
dc.date2005-04-08
dc.date.accessioned2026-07-07T05:18:56Z
dc.date.available2026-07-07T05:18:56Z
dc.descriptionThe main results of this paper interpret mixed volumes of lattice polytopes as mixed multiplicities of ideals and mixed multiplicities of ideals as Samuel's multiplicities. In particular, we can give a purely algebraic proof of Bernstein's theorem which asserts that the number of common zeros of a system of Laurent polynomial equations in the torus is bounded above by the mixed volume of their Newton polytopes.
dc.description19 pages, to appear in Trans. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0504178
dc.identifierhttp://arxiv.org/abs/math/0504178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74838
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D40; 52B20
dc.titleMixed multiplicities of ideals versus mixed volumes of polytopes
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