Supravat Sarkar

activity

20232026

Q

-divisors of multidegree one in multiprojective space

1 citations · 1 across the 19 of their papers we have counts for

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9 papers · 1 filter

math.AG2026

Tangent bundles of Quot schemes of vector bundles on curves

Ashima Bansal, Supravat Sarkar, Shivam Vats

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…

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.RT2026

Characters of modules over negative rank-2 Borcherds-Kac-Moody Lie algebras

Souvik Pal, Supravat Sarkar, G. Krishna Teja

Let $g = g (A)$ be the Borcherds-Kac-Moody Lie algebra (BKM LA) for a BKM Cartan matrix $A$ that is filled by negative integers. Fix a Cartan subalgebra $\mathfr…

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 $ϕ$ …

math.AG2026

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…