Sums of binomial determinants, non-intersecting lattice paths and positivity of Chern-Schwartz-MacPherson classes

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We give a combinatorial interpretation of a certain positivity conjecture of Chern-Schwartz-MacPherson classes, as stated by P. Aluffi and the author in a previous paper. It translates into a positivity property for a sum of p by p determinants consisting of binomial coefficients, generalizing the classical Theorem of Lindstrom-Gessel-Viennot et al. which computes these determinants in terms of non-intersecting lattice paths. We prove this conjecture for p=2,3.
10 pages, 5 figures, comments are welcome

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Combinatorics, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/124291

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702566
 http://arxiv.org/abs/math/0702566

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arXiv