Pinakinath Saha

activity

20192026

G

-induced variety

1 citations · 1 across the 18 of their papers we have counts for

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17 papers · 1 filter

math.AG2026

Algebraic and analytic Brauer groups of homogeneous spaces

Saurav Bhaumik, Pinakinath Saha

In this article, we compute both the algebraic and the analytic Brauer groups of a homogeneous space under the action of a connected, simply connected, semisimple complex algebraic…

math.AG2025

Blow-up of a generalized flag variety

Indranil Biswas, Pinakinath Saha

Let $G$ be a connected simply connected semisimple complex algebraic group and $P \subset G$ a parabolic subgroup. We give a necessary and sufficient condition for a line bundl…

math.AG2024

From Schubert Varieties to Doubly-Spherical Varieties

Mahir Bilen Can, S. Senthamarai Kannan, Pinakinath Saha

Horospherical Schubert varieties are determined. It is shown that the stabilizer of an arbitrary point in a Schubert variety is a strongly solvable algebraic group. The connectedne…

math.AG2024

Positivity on simple $G$ -varieties

Praveen Kumar Roy, Pinakinath Saha

Let $X$ be a normal projective variety equipped with an action of a semisimple algebraic group $G$ , and assume that $X$ contains a unique closed orbit. Let $B$ be a Borel subgroup…

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

Applications of Homogeneous Fiber Bundles to the Schubert Varieties

Mahir Bilen Can, Pinaki Saha

This article explores the relationship between Schubert varieties and equivariant embeddings, using the framework of homogeneous fiber bundles over flag varieties. We show that the…

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

Line bundles on $G$ -Bott-Samelson-Demazure-Hansen varieties

Saurav Bhaumik, Pinakinath Saha

Let $G$ be a semi-simple simply connected algebraic group over an algebraically closed field $k$ of arbitrary characteristic. Let $B$ be a Borel subgroup of $G$ containing a maxima…

math.AG2022

Minimal Parabolic subgroups and Automorphism groups of Schubert varieties-II

S. Senthamarai Kannan, Pinakinath Saha

Let $G$ be a simple algebraic group of adjoint type over the field $C$ of complex numbers, $B$ be a Borel subgroup of $G$ containing a maximal torus $T$ of $G .$ In this ar…

math.AG2022

Minimal parabolic subgroups and automorphism groups of Schubert varieties

S. Senthamarai Kannan, Pinakinath Saha

Let $G$ be a simple simply-laced algebraic group of adjoint type over the field $C$ of complex numbers, $B$ be a Borel subgroup of $G$ containing a maximal torus $T$ of $G…

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.AG2021

Torus quotient of the Grassmannian $G_{n, 2 n}$

Arpita Nayek, Pinakinath Saha

Let $G_{n, 2 n}$ be the Grassmannian parameterizing the $n$ -dimensional subspaces of $C^{2 n} .$ The Picard group of $G_{n, 2 n}$ is generated by a unique ample line bundle $\ma…

math.AG2019

Rigidity of Bott-Samelson-Demazure-Hansen variety for $P S O (2 n + 1, C)$

S. Senthamarai Kannan, Pinakinath Saha

Let $G = P S O (2 n + 1, C) (n \geq 3)$ and $B$ be the Borel subgroup of $G$ containing maximal torus $T$ of $G .$ Let $w$ be an element of Weyl group $W$ and $X (w)$ be the Schubert…

math.AG2019

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_{4}$ and $G_{2}$

S. Senthamarai Kannan, Pinakinath Saha

Let $G$ be a simple algebraic group of adjoint type over $C,$ whose root system is of type $F_{4} .$ Let $T$ be a maximal torus of $G$ and $B$ be a Borel subgroup of $G$ co…

math.AG2019

Parabolic subgroups and Automorphism groups of Schubert varieties

S. Senthamarai Kannan, Pinakinath Saha

Let $G$ be a simple algebraic group of adjoint type over the field $C$ of complex numbers, $B$ be a Borel subgroup of $G$ containing a maximal torus $T$ of $G .$ Let $w$ be…

Algebraic and analytic Brauer groups of homogeneous spaces

Blow-up of a generalized flag variety

From Schubert Varieties to Doubly-Spherical Varieties

Positivity on simple G-varieties

Toric Richardson Varieties

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

Applications of Homogeneous Fiber Bundles to the Schubert Varieties

On Automorphism group of a G-induced variety

On torus quotients of Schubert varieties in orthogonal Grassmannian-II

Line bundles on G-Bott-Samelson-Demazure-Hansen varieties

Minimal Parabolic subgroups and Automorphism groups of Schubert varieties-II

Minimal parabolic subgroups and automorphism groups of Schubert varieties

On torus quotients of Schubert varieties in Orthogonal Grassmannian

Torus quotient of the Grassmannian Gn,2n​

Rigidity of Bott-Samelson-Demazure-Hansen variety for PSO(2n+1,C)

Rigidity of Bott-Samelson-Demazure-Hansen variety for F4​ and G2​

Parabolic subgroups and Automorphism groups of Schubert varieties

Positivity on simple $G$ -varieties

On Automorphism group of a $G$ -induced variety

Line bundles on $G$ -Bott-Samelson-Demazure-Hansen varieties

Torus quotient of the Grassmannian $G_{n, 2 n}$

Rigidity of Bott-Samelson-Demazure-Hansen variety for $P S O (2 n + 1, C)$

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_{4}$ and $G_{2}$