Multiplicities of Singular Points in Schubert Varieties of Grassmannians
Algebraic Geometry
2007-05-23 v1
Abstract
We give a closed-form formula for the Hilbert function of the tangent cone at the identity of a Schubert variety X in the Grassmannian in both group theoretic and combinatorial terms. We also give a formula for the multiplicity of X at the identity, and a Grobner basis for the ideal defining the intersection of X with the opposite cell as a closed subvariety of the opposite cell. We give conjectures for the Hilbert function and multiplicity at points other than the identity.
Cite
@article{arxiv.math/0108071,
title = {Multiplicities of Singular Points in Schubert Varieties of Grassmannians},
author = {V. Kreiman and V. Lakshmibai},
journal= {arXiv preprint arXiv:math/0108071},
year = {2007}
}
Comments
11 pages