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

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dc.creatorMihalcea, Leonardo Constantin
dc.date2007-02-19
dc.date.accessioned2026-07-07T07:47:48Z
dc.date.available2026-07-07T07:47:48Z
dc.descriptionWe 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.
dc.description10 pages, 5 figures, comments are welcome
dc.identifierhttps://arxiv.org/abs/math/0702566
dc.identifierhttp://arxiv.org/abs/math/0702566
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124291
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.titleSums of binomial determinants, non-intersecting lattice paths and positivity of Chern-Schwartz-MacPherson classes
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