On the Hilbert series of the Grassmannian
Algebraic Geometry
2017-12-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1712.05747,
title = {On the Hilbert series of the Grassmannian},
author = {Lukas Braun},
journal= {arXiv preprint arXiv:1712.05747},
year = {2017}
}
Comments
12 pages