4 citations · 18 across the 11 of their papers we have counts for
11 papers
On the homogeneity problem of the Kazhdan-Lusztig ideals
Adhip Ganguly, Shyamashree Upadhyay
In this paper, our purpose is to find some techniques to identify inhomogeneous Kazhdan-Lusztig ideals. A set of generators of a Kazhdan-Lusztig ideal corresponds to some minors in…
Multiplicity at any torus-fixed point in a Richardson variety in the Symplectic Grassmannian
Papi Ray, Shyamashree Upadhyay
We give a combinatorial description of the multiplicity at any torus fixed point on a Richardson variety in the Symplectic Grassmannian.
Initial ideals of tangent cones to Richardson varieties in the Symplectic Grassmannian
Shyamashree Upadhyay, Papi Ray
We give an explicit grobner basis for the ideal of the tangent cone at any T-fixed point of a Richardson variety in the Symplectic Grassmannian, thus generalizing a result of Ghorp…
Local properties of Schubert Varieties in the Symplectic Grassmannian via a bounded RSK correspondence
Shyamashree Upadhyay, Papi Ray
In a paper by Ghorpade and Raghavan, they provide an explicit combinatorial description of the Hilbert function of the tangent cone at any point on a Schubert variety in the symple…
Irrational HK multiplicities are possible for trinomial hyper surfaces
Shyamashree Upadhyay
A `trinomial hyper surface' is defined in §1 below. In this article, I provide a supportive reasoning towards the fact that there can be examples of trinomial hyper surfaces (at le…
A rank computation problem related to the HK function of trinomial hypersurfaces
Shyamashree Upadhyay
In this article, I provide a solution to a rank computation problem related to the computation of the Hilbert-Kunz function for any disjoint-term trinomial hypersurface, over any f…