4 citations · 4 across the 16 of their papers we have counts for
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Tangent bundles of Quot schemes of vector bundles on curves
Ashima Bansal, Supravat Sarkar, Shivam Vats
For a vector bundle on a smooth projective curve , one defines the Quot scheme parametrizing subsheaves of having length torsion quotients. We describe…
Torelli theorems for Quot schemes of vector bundles on curves
Ashima Bansal, Supravat Sarkar, Shivam Vats
For a vector bundle on a smooth projective curve , one defines the Quot scheme parametrizing subsheaves of having length torsion quotients. If is a…
Positive Cones of Parabolic Grassmann Bundle over a curve
Ashima Bansal, Shivam Vats
In this article, we define the parabolic Grassmann bundle associated to a parabolic vector bundle over a smooth projective variety, generalizing the construction of parabolic proje…
Singularity of cubic hypersurfaces and hyperplane sections of projectivized tangent bundle of projective space
Ashima Bansal, Supravat Sarkar, Shivam Vats
We show that the normal points of a cubic hypersurface in projective space have canonical singularities unless the hypersurface is an iterated cone over an elliptic curve. As an ap…
Automorphisms of punctual Hilbert schemes and symmetric powers of varieties
Ashima Bansal, Supravat Sarkar, Shivam Vats
We classify complex smooth projective surfaces whose punctual Hilbert scheme has a non-natural automorphism preserving the big diagonal. This completely answers a question raised b…
Isomorphisms and automorphisms of multiprojective bundles and symmetric powers of projective bundles
Ashima Bansal, Supravat Sarkar, Shivam Vats
We describe when two multiprojective bundles (fibre products of projective bundles over the same base) over projective spaces are isomorphic as abstract varieties. We also describe…
Symmetric power of higher dimensional varieties
Ashima Bansal, Supravat Sarkar, Shivam Vats
We study several properties of the symmetric power of a smooth variety . We describe the Picard and divisor class groups of when is projective. We give a compl…
Extremal Contraction of Projective Bundles
Ashima Bansal, Supravat Sarkar, Shivam Vats
In this article, we explore the extremal contractions of several projective bundles over smooth Fano varieties of Picard rank . We provide a whole class of examples of projectiv…
Correspondence between Projective bundles over and rational Hypersurfaces in
Shivam Vats
Let E be the restriction of the null-correlation bundle on to a hyperplane. In this article, we show that the projective bundle is isomorphic to a…
Isomorphism of Multiprojective Bundles and Projective Towers
Ashima Bansal, Supravat Sarkar, Shivam Vats
We study when two projective bundles over two arbitrary smooth projective varieties of different dimensions can be isomorphic. We show that two multi-projective bundles (fibre prod…