paper

Multiplicity on a Richardson variety in a cominuscule G/P

arXiv:1009.2873 · doi:10.1090/S0002-9947-2013-05630-9

Abstract

We show that in a cominuscule partial flag variety G/P, the multiplicity of an arbitrary point on a Richardson variety X_w^v = X_w \cap X^v is the product of its multiplicities on the Schubert varieties X_w and X^v.

v2: Gap in proof of Proposition 4.5 fixed, reference list expanded