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arXiv:math/0409338 [math.RT]AbstractReferencesReviewsResources

Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian

Sudhir R. Ghorpade, K. N. Raghavan

Published 2004-09-20, updated 2006-02-13Version 3

We give an explicit combinatorial description of the multiplicity as well as the Hilbert function of the tangent cone at any point on a Schubert variety in the symplectic Grassmannian.

Comments: latex, 22 pages, 2 figures; for version 2: a few references added, minor changes; for version 3: Final version to appear in TAMS, a few minor (but potentially misleading) typos and erros corrected
Journal: Transactions of the American Mathematical Society, Vol. 358, No. 12 (2006), pp. 5401-5423
Categories: math.RT, math.CO
Subjects: 14M15, 13F50, 13A30
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