### arXiv:1712.05747 [math.AG]AbstractReferencesReviewsResources

#### On the Hilbert series of the Grassmannian

Published 2017-12-15Version 1

We compute the Hilbert series of the complex Grassmannian using invariant theoretic methods and show that its h-polynomial coincides with the k-Narayana polynomial. We give a simplified formula for the h-polynomial of Schubert varieties. Finally, we use a generalized hypergeometric Euler transform to find simplified formulae for the k-Narayana numbers, i.e. the h-polynomial of the Grassmannian.

**Comments:**12 pages

**Categories:**math.AG

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