4 citations · 18 across the 11 of their papers we have counts for
11 papers · 1 filter
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…
An algorithm for the HK function for disjoint-term trinomial hypersurfaces
Shyamashree Upadhyay
A `trinomial hypersurface' is a hypersurface that is defined by a single polynomial having 3 non-constant terms in it and no constant term. A `disjoint-term trinomial hypersurface'…
The Hilbert-Kunz function for Binomial Hypersurfaces
Shyamashree Upadhyay
In this article, I give an iterative closed form formula for the Hilbert-Kunz function for any binomial hypersurface in general, over any feild of arbitrary positive characteristic…
Initial ideals of tangent cones to Richardson varieties in the Orthogonal Grassmannian via a Orthogonal-Bounded-RSK-Correspondence
Shyamashree Upadhyay
A Richardson variety $X_\ga^\gc$ in the Orthogonal Grassmannian is defined to be the intersection of a Schubert variety $X^\gc$ in the Orthogonal Grassmannian and a opposite Schube…
Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians
K. N. Raghavan, Shyamashree Upadhyay
We compute the initial ideals, with respect to certain conveniently chosen term orders, of ideals of tangent cones at torus fixed points to Schubert varieties in orthogonal Grassma…
Hilbert functions of points on Schubert varieties in Orthogonal Grassmannians
K. N. Raghavan, Shyamashree Upadhyay
A solution is given to the following problem: how to compute the multiplicity, or more generally the Hilbert function, at a point on a Schubert variety in an orthogonal Grassmannia…