Products of Foldable Triangulations

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Regular triangulations of products of lattice polytopes are constructed with the additional property that the dual graphs of the triangulations are bipartite. The (weighted) size difference of this bipartition is a lower bound for the number of real roots of certain sparse polynomial systems by recent results of Soprunova and Sottile [Adv. Math. 204(1):116-151, 2006]. Special attention is paid to the cube case.
new title; several paragraphs reformulated; 23 pages

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Combinatorics, Algebraic Geometry, 52B20; 14M25

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http://salesiana.dossiersoluciones.com/handle/123456789/102166

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508180
 http://arxiv.org/abs/math/0508180

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arXiv