On multiplicities of points on Schubert varieties in Graszmannians II
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Combinatorics
Rings and Algebras
Abstract
We prove a conjecture by Kreiman and Lakshmibai on a combinatorial description of multiplicities of points on Schubert varieties in Graszmannians in terms of certain sets of reflections in the corresponding Weyl group. The proof is accomplished by setting up a bijection between these sets of reflections and the author's previous combinatorial interpretation of these multiplicities in terms of nonintersecting lattice paths (S\'eminaire Lotharingien Combin. 45 (2001), Article B45c; see http://www.mat.univie.ac.at/~slc/wpapers/s45kratt.html or http://www.arxiv.org/abs/math.AG/0011129).
Keywords
Cite
@article{arxiv.math/0112285,
title = {On multiplicities of points on Schubert varieties in Graszmannians II},
author = {Christian Krattenthaler},
journal= {arXiv preprint arXiv:math/0112285},
year = {2007}
}
Comments
11 pages, AmS-TeX