Arpita Nayek

collaborators

3 papers

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.RT2019

Projective normality of torus quotients of flag varieties

Arpita Nayek, Santosha Kumar Pattanayak, Shivang Jindal

Let $G = S L_{n} (C)$ and $T$ be a maximal torus in $G$ . We show that the quotient $T \\ G / P_{α_{1}} \cap P_{α_{2}}$ is projectively normal with respect to the de…

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/…