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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.
On the geometry of the anti-canonical bundle of the Bott-Samelson-Demazure-Hansen varieties
Indranil Biswas, S. Senthamarai Kannan, Pinakinath Saha
Let be a semi-simple simply connected algebraic group over the field of complex numbers. Let be a maximal torus of and let be the Weyl group of wi…
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…
On Automorphism group of a -induced variety
Arpita Nayek, A. J. Parameswaran, Pinakinath Saha
Let be a connected semisimple algebraic group of adjoint type over the field of complex numbers and be a Borel subgroup of Let be an irreducible proje…
On torus quotients of Schubert varieties in orthogonal Grassmannian-II
Arpita Nayek, Pinakinath Saha
Let (). Let be a Borel subgroup of containing a maximal torus of Let denote the maximal parabolic subgroup of c…