5 papers
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…
Optimal Interactive Learning on the Job via Facility Location Planning
Shivam Vats, Michelle Zhao, Patrick Callaghan +4
Collaborative robots must continually adapt to novel tasks and user preferences without overburdening the user. While prior interactive robot learning methods aim to reduce human e…
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…