Author

Supravat Sarkar

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Preprint Sep 2026

Tangent bundles of Quot schemes of vector bundles on curves

For a vector bundle $E$ on a smooth projective curve $C$, one defines the Quot scheme $Q:=Q_d(E,C)$ parametrizing subsheaves of $E$ having length $d$ torsion quotients. We describe the indecomposable components of the tangent bundle $T_Q$ of $Q$, thus characterizing when $T_Q$ is indecomposable. We also characterize wh...

Ashima Bansal, Supravat Sarkar, Shivam Vats · 0 citations

Preprint Aug 2026

Automorphisms of very general blow up

We show that if $X$ is a projective variety of dimension $\geq 2$ that is not a rational surface, then the blow up of $X$ at sufficiently many very general points has no nontrivial automorphism. Similar results were known before for $\mathbb{P}^2$ and $\mathbb{P}^3.$

Supravat Sarkar · 2 citations