Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian

Details Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian

2004-09-20

arxiv.org/abs/math/0409338v3

Transactions of the American Mathematical Society, Vol. 358, No. 12 (2006), pp. 5401-5423

Mathematics

Representation Theory

latex, 22 pages, 2 figures; for version 2: a few references added, minor changes; for version 3: Final version to appear in TA

Scientific paper

10.1090/S0002-9947-06-04037-2

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.

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