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math.AG2001
A geometric approach to Standard Monomial Theory
M. Brion, V. Lakshmibai
We obtain a geometric construction of a ``standard monomial basis'' for the homogeneous coordinate ring associated with any ample line bundle on any flag variety. This basis is com…
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…