1 citations · 1 across the 19 of their papers we have counts for
20 papers
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…
Automorphisms of very general blow up
Supravat Sarkar
We show that if is a projective variety of dimension that is not a rational surface, then the blow up of at sufficiently many very general points has no nontrivial…
Stable and unstable syzygy bundles on certain Picard rank one varieties
Supravat Sarkar
If is a smooth projective variety of dimension and Picard rank on which every ample line bundle has at least linearly independent sections, we prove that syzyg…
Extension of Ulrich bundles
Supravat Sarkar
We study extension of Ulrich bundles from a smooth nondegenerate subvariety of . If is a complete intersection of dimension , we show that the extensi…
Characters of modules over negative rank-2 Borcherds-Kac-Moody Lie algebras
Souvik Pal, Supravat Sarkar, G. Krishna Teja
Let be the Borcherds-Kac-Moody Lie algebra (BKM LA) for a BKM Cartan matrix that is filled by negative integers. Fix a Cartan subalgebra $\mathfr…
Tangent bundle of punctual Hilbert scheme and distinguishing products of varieties
Supravat Sarkar
We describe the indecomposable components of the tangent bundle of the punctual Hilbert scheme of a smooth projective surface. As an application, we prove a recent conjecture about…
Generalized determinantal representation of hypersurfaces
A. El Mazouni, D. S. Nagaraj, Supravat Sarkar
In this article we extend the notion of determinantal representation of hypersurfaces to the determinantal representation of sections of the determinant line bundle of a vector bun…
Proof of Miyanishi's conjecture on endomorphisms of varieties
Supravat Sarkar
If is a quasi-projective variety over a field and a birational endomorphism of that is injective outside a closed subset of codimension , we prove that …
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…
Descend of morphisms of varieties
Supravat Sarkar
Given varieties and dominant morphisms and such that is constant on fibres of , we give sufficient conditions to guarantee that descends…
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…
Frobenius liftable hypersurfaces
Tatsuro Kawakami, Supravat Sarkar, Jakub Witaszek
Let be a reduced divisor in for an algebraically closed field of positive characteristic . We prove that if is Frobenius liftabl…
Images of toric variety and amplified endomorphism of weak Fano threefolds
Supravat Sarkar
We show that some important classes of weak Fano -folds of Picard rank do not satisfy Bott vanishing. Using this we show that any smooth projective -fold of Picard ra…
Singularity of -divisors of multidegree one in multiprojective space
Supravat Sarkar
We study singularity of effective -divisors on products of projective spaces of multidegree This generalizes works of Bath, Musta{ţ}{ă} and Walther on sin…
Smooth blow up structures on projective bundles
Supravat Sarkar
Assuming Hartshorne's conjecture on complete intersections, we classify projective bundles over projective spaces which has a smooth blow up structure over another projective space…
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…
Varieties with two smooth blow up structures
Supravat Sarkar
We classify smooth projective varieties of Picard rank 2 which has two structures of blow-up of projective space along smooth subvarieties of different dimensions. This gives a cha…
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…