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.

Download the full paper as:

PDF File Postscript File DVI File.


Back to the List of Publications

Back to the Sudhir Ghorpade's Home Page