Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian
Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian
Sudhir R. Ghorpade
Department of Mathematics
Indian Institute of Technology Bombay
Powai, Mumbai 400076, India
E-Mail: srg@math.iitb.ac.in
and
K. N. Raghavan
Institute of Mathematical Sciences
C.I.T. Campus, Taramani
Chennai 600013, India
E-Mail: knr@imsc.ernet.in
Abstract
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.
Contents
1 | Introduction | 1 |
2 | The Theorem | 3 |
3 | Reduction to Combinatorics | 5 |
4 | Further Reductions | 10 |
5 | Completion of Proof | 13 |
6 | Interpretations | 18 |
| References | 22 |
This paper is published in the
Transactions of the American
Mathematical Society, Vol. 358, No. 12 (2006), pp. 5401-5423.
See the Abstract, references and article information maintained by the journal.
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