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math.AG2004★ 5 cited
On Ideal Generators for Affine Schubert Varieties
V. Kreiman, V. Lakshmibai, P. Magyar +1
We consider a certain class of Schubert varieties of the affine Grassmannian of type A. By embedding a Schubert variety into a finite-dimensional Grassmannian, we construct an expl…
math.AG2002
Richardson Varieties in the Grassmannian
Victor Kreiman, V. Lakshmibai
The Richardson variety is defined to be the intersection of the Schubert variety and the opposite Schubert variety . For in the Grassmannian, we obtain a…
math.AG2001
Multiplicities of Singular Points in Schubert Varieties of Grassmannians
V. Kreiman, V. Lakshmibai
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 ter…