Pinakinath Saha

collaborators

4 papers

math.AG2023

Toric Richardson Varieties

Mahir Bilen Can, Pinakinath Saha

In this article, we provide characterizations of toric Richardson varieties across all types through three distinct approaches: 1) poset theory, 2) root theory, and 3) geometry.

math.AG2023

On the geometry of the anti-canonical bundle of the Bott-Samelson-Demazure-Hansen varieties

Indranil Biswas, S. Senthamarai Kannan, Pinakinath Saha

Let $G$ be a semi-simple simply connected algebraic group over the field $C$ of complex numbers. Let $T$ be a maximal torus of $G,$ and let $W$ be the Weyl group of $G$ wi…

math.AG2023

On torus quotients of Schubert varieties in orthogonal Grassmannian-II

Arpita Nayek, Pinakinath Saha

Let $G = S O (8 n + 4, C)$ ( $n \geq 1$ ). Let $B$ be a Borel subgroup of $G$ containing a maximal torus $T$ of $G .$ Let $P (\supset B)$ denote the maximal parabolic subgroup of $G$ c…

math.AG2022

On torus quotients of Schubert varieties in Orthogonal Grassmannian

Arpita Nayek, Pinakinath Saha

Let $G = S p in (8 n, C) (n \geq 1)$ and $T_{G}$ be a maximal torus of $G .$ Let $P^{α_{4 n}} (\supset T_{G})$ be the maximal parabolic subgroup of $G$ corresponding to the simple roo…