Sums of binomial determinants, non-intersecting lattice paths and positivity of Chern-Schwartz-MacPherson classes
Combinatorics
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0702566,
title = {Sums of binomial determinants, non-intersecting lattice paths and positivity of Chern-Schwartz-MacPherson classes},
author = {Leonardo Constantin Mihalcea},
journal= {arXiv preprint arXiv:math/0702566},
year = {2007}
}
Comments
10 pages, 5 figures, comments are welcome