Pinakinath Saha

activity

20242026

collaborators

5 papers

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.CO2026

Toric Schubert Varieties in Partial Flag Varieties

Mahir Bilen Can, Arpita Nayek, Pinakinath Saha

In this article, we investigate the toric Schubert varieties in partial flag varieties $G / P$ for a connected semisimple algebraic group $G$ . Using Deodhar's decomposition of Richar…

math.AG2025

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.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

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…