2 citations · 3 across the 9 of their papers we have counts for
9 papers
Fano Generalized Bott-Samelson Varieties
Narasimha Chary Bonala, Santosha Pattanayak, Yogendra Singh
The Bott-Samelson varieties provide natural desingularizations of Schubert varieties, and their generalizations, called generalized Bott-Samelson varieties, were constructed by Nic…
The Gromov width of generalized Bott-Samelson manifolds
Narasimha Chary Bonala, Yogendra Singh
We study the Gromov width of smooth generalized Bott-Samelson varieties, a class of projective varieties constructed by Perrin in \cite{Per07} as a generalization of classical Bott…
On the GIT quotient of Grassmannians by one dimensional torus
Narasimha Chary Bonala, S Senthamarai Kannan, Santosha Pattanayak
We consider the action of the one-parameter subgroup of the special linear group corresponding to a simple root on Grassmannians and describe the structure of the associated Geomet…
On intersection cohomology with torus action of complexity one, II
Marta Agustin Vicente, Narasimha Chary Bonala, Kevin Langlois
We show that the components, appearing in the decomposition theorem for contraction maps of torus actions of complexity one, are intersection cohomology complexes of even codimensi…
Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian
Narasimha Chary Bonala, Oliver Clarke, Fatemeh Mohammadi
Richardson varieties are obtained as intersections of Schubert and opposite Schubert varieties. We provide a new family of toric degenerations of Richardson varieties inside Grassm…
Standard monomial theory and toric degenerations of Richardson varieties in flag varieties
Narasimha Chary Bonala, Oliver Clarke, Fatemeh Mohammadi
We study standard monomial bases for Richardson varieties inside the flag variety. In general, writing down a standard monomial basis for a Richardson variety can be challenging, a…
Standard monomial theory and toric degenerations of Richardson varieties inside Grassmannians and flag varieties
Narasimha Chary Bonala, Oliver Clarke, Fatemeh Mohammadi
We study toric degenerations of opposite Schubert and Richardson varieties inside degenerations of Grassmannians and flag varieties. These degenerations are parametrized by matchin…
The Gromov width of Bott-Samelson varieties
Narasimha Chary Bonala, Stéphanie Cupit-Foutou
We prove that the Gromov width of any Bott-Samelson variety birational to a Schubert variety and equipped with a rational Kähler form equals the symplectic area of a minimal curve.…
Cohomology of line bundles on horospherical varieties
Benoît Dejoncheere, B. Narasimha Chary
A horospherical variety is a normal algebraic variety where a connected reductive algebraic group acts with an open orbit isomorphic to a torus bundle over a flag variety. In this…