Multiplicity on a Richardson variety in a cominuscule G/P

Details Multiplicity on a Richardson variety in a cominuscule G/P Multiplicity on a Richardson variety in a cominuscule G/P

2010-09-15

arxiv.org/abs/1009.2873v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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