Supravat Sarkar

collaborators

16 papers

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

Images of toric variety and amplified endomorphism of weak Fano threefolds

Supravat Sarkar

We show that some important classes of weak Fano $3$ -folds of Picard rank $2$ do not satisfy Bott vanishing. Using this we show that any smooth projective $3$ -fold $X$ of Picard ra…

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), corresponding to a BKM Cartan matrix $A$ filled by negative integers. Let $P^+\subset \mathfrak{…

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

Varieties with two smooth blow up structures

Supravat Sarkar

We classify smooth projective varieties of Picard rank 2 which has two structures of blow-up of projective space along smooth subvarieties of different dimensions. This gives a cha…