Arpita Nayek

activity

20192026

G

-induced variety

1 citations · 1 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.AG2023

Torus quotients of Richardson varieties in $G_{r, q r + 1}$

S. Senthamarai Kannan, Arpita Nayek

Let $r$ and $q$ be positive integers and $n = q r + 1.$ Let $G = S L (n, C)$ and $T$ be a maximal torus of $G .$ Let $P^{α_{r}}$ be the maximal parabolic subgroup of $G$ correspondi…

math.AG2023

Torus Quotients of Richardson Varieties

Somnath Dake, Shripad M. Garge, Arpita Nayek

For $1 \leq r \leq n - 1,$ let $G_{r, n}$ denote the Grassmannian parametrizing $r$ -dimensional subspaces of $C^{n} .$ Let $(r, n) = 1.$ In this article we show that the GIT quotient…

math.AG2023★ 1 cited

On Automorphism group of a $G$ -induced variety

Arpita Nayek, A. J. Parameswaran, Pinakinath Saha

Let $G$ be a connected semisimple algebraic group of adjoint type over the field $C$ of complex numbers and $B$ be a Borel subgroup of $G .$ Let $F$ be an irreducible proje…

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…

math.AG2019

Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians

Arpita Nayek, Santosha Kumar Pattanayak

For any simple, simply connected algebraic group $G$ of type $B, C$ and $D$ and for any maximal parabolic subgroup $P$ of $G$ , we provide a criterion for a Richardson variety in $G/…

Torus quotients of Richardson varieties in Gr,qr+1​

Torus Quotients of Richardson Varieties

On Automorphism group of a G-induced variety

On torus quotients of Schubert varieties in orthogonal Grassmannian-II

On torus quotients of Schubert varieties in Orthogonal Grassmannian

Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians

Torus quotients of Richardson varieties in $G_{r, q r + 1}$

On Automorphism group of a $G$ -induced variety