V. Lakshmibai

activity

19972018

most citedSingular Loci of Hibi toric varieties

14 citations · 55 across the 23 of their papers we have counts for

collaborators

26 papers

math.RT2018★ 1 cited

A classification of spherical Schubert varieties in the Grassmannian

Reuven Hodges, Venkatramani Lakshmibai

Let $L$ be a Levi subgroup of $G L_{N}$ which acts by left multiplication on a Schubert variety $X (w)$ in the Grassmannian $G_{d, N}$ . We say that $X (w)$ is a spherical Schubert variet…

math.AG2018

Toroidal Schubert Varieties

Mahir Bilen Can, Reuven Hodges, Venkatramani Lakshmibai

Levi subgroup actions on Schubert varieties are studied. In the case of partial flag varieties, the horospherical actions are determined. This leads to a characterization of the to…

math.AG2017★ 1 cited

Conormal Varieties on the Cominuscule Grassmannian

Rahul Singh, Venkatraman Lakshmibai

Let $G$ be a simply connected, almost simple group over an algebraically closed field $k$ , and $P$ a maximal parabolic subgroup corresponding to omitting a cominuscule root…

math.AG2017

Cotangent Bundles of Partial Flag Varieties and Conormal Varieties of their Schubert Divisors

Venkatramani Lakshmibai, Rahul Singh

Let $P$ be a parabolic subgroup in $G = S L_{n} (k)$ , for $k$ an algebraically closed field. We show that there is a $G$ -stable closed subvariety of an affine Schubert va…

math.AG2016

Cotangent Bundle to the Flag Variety - II

Venkatramani Lakshmibai, Rahul Singh

Let $P$ be a parabolic subgroup in $S L_{n} (C)$ . We show that there is a $S L_{n} (C)$ -stable closed subvariety of an affine Schubert variety in an infinite dimensional pa…

math.RT2016

Levi Subgroup Actions on Schubert Varieties, Induced Decompositions of their Coordinate Rings, and Sphericity Consequences

Reuven Hodges, Venkatramani Lakshmibai

Let $L_{w}$ be the Levi part of the stabilizer $Q_{w}$ in $G L_{N}$ (for left multiplication) of a Schubert variety $X (w)$ in the Grassmannian $G_{d, N}$ . For the natural action of $L_{w}$ o…