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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…