Supravat Sarkar

activity

20232026

Q

-divisors of multidegree one in multiprojective space

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math.AG2026

Automorphisms of very general blow up

Supravat Sarkar

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…

math.AG2026

Stable and unstable syzygy bundles on certain Picard rank one varieties

Supravat Sarkar

If $X$ is a smooth projective variety of dimension $\geq 2$ and Picard rank $1$ on which every ample line bundle has at least $2$ linearly independent sections, we prove that syzyg…

math.AG2026

Extension of Ulrich bundles

Supravat Sarkar

We study extension of Ulrich bundles from a smooth nondegenerate subvariety $X$ of $P^{n}$ . If $X$ is a complete intersection of dimension $\geq 2$ , we show that the extensi…

math.AG2026

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…

math.AG2026

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…

math.AG2026

Proof of Miyanishi's conjecture on endomorphisms of varieties

Supravat Sarkar

If $X$ is a quasi-projective variety over a field $k$ and $ϕ$ a birational endomorphism of $X$ that is injective outside a closed subset of codimension $\geq 2$ , we prove that $ϕ$ …