Sarbeswar Pal

activity

20152023

most citedNon-emptiness of Brill-Noether Loci over very general quintic hypersurface

4 citations · 10 across the 11 of their papers we have counts for

collaborators

11 papers

math.AG2023

Fano manifolds of Picard number one whose co-tangent bundle is algebraically completely integrable system and its endomorphisms

Sarbeswar Pal

Let $X$ be a projective Fano manifold of Picard number one, different from the projective space. There is a folklore conjecture that any non-constant endomorphism of $X$ is an isom…

math.AG2022

On a Conjecture of Drinfeld

Sarbeswar Pal

Let $C$ be a smooth irreducible irreducible projective curve of genus $g \geq 2$ . Let $M_{C} (n, δ)$ be the moduli space of semi-stable vector bundles on $C$ of rank $n$ and…

math.AG2022

Existence of Ulrich Bundle on general Surfaces

Suratno Basu, Sarbeswar Pal

Let $X$ be a smooth projective algebraic surface of Picard rank one with very ample canonical bundle $K_{X}$ . We further assume that $q - 1 \leq χ (O_{X}$ . In this article, we w…

math.AG2021

Stability of Syzygy bundles corresponding to stable vector bundles on algebraic surfaces

Suratno Basu, Sarbeswar Pal

Let $(X, H)$ be a polarized smooth projective algebraic surface and $E$ is globally generated, stable vector bundle on $X$ . Then the Syzygy bundle $M_{E}$ associated to it is defined…

math.AG2020

Lazarsfeld-Mukai bundles on K3 surfaces associated to a pencil computing Clifford index

Sarbeswar Pal

Let $X$ be a smooth projective K3 surface over complex numbers and $C$ be an ample curve on $X$ . In this paper we will study the semistability of the Lazarsfeld-Mukai bundle $E_{C,…

math.AG2020★ 1 cited

Irreducibility of moduli of vector bundles over a very general sextic Surface

Sarbeswar Pal

Let $S$ be a very general smooth hypersurface of degree $6$ in $P^{3}$ . In this paper we will prove that the moduli space of $μ$ -stable rank $2$ torsion free sheaves with re…

math.AG2020★ 1 cited

Geometry of some moduli of bundles over a very general sextic surface for small second Chern classes and Mestrano-Simpson Conjecture

Debojyoti Bhattacharya, Sarbeswar Pal

Let $S \subset P^{3}$ be a very general sextic surface over complex numbers. Let $M (H, c_{2})$ be the moduli space of rank $2$ stable bundles on $S$ with fixed first…

math.AG2018

The wobbly divisors of the moduli space of rank- $2$ vector bundles

Sarbeswar Pal, Christian Pauly

Let $X$ be a smooth projective complex curve of genus $g \geq 2$ and let $\M_X(2,Λ)$ be the moduli space of semi-stable rank- $2$ vector bundles over $X$ with fixed determinant $Λ$ .…

math.AG2017★ 1 cited

An elementary proof of Lelli Chiesa's theorem on constancy of second coordinate of gonality sequence

Sarbeswar Pal

Let $X$ be a K3 surface and $L$ be an ample line bundle on it. In this article we will give an alternative and elementary proof of Lelli Chiesa's Theorem in the case of $r = 2$ . Mor…

math.AG2017★ 4 cited

Non-emptiness of Brill-Noether Loci over very general quintic hypersurface

Krishanu Dan, Sarbeswar Pal

In this article we study Brill-Noether loci of moduli space of stable bundles over smooth surfaces. We define Petri map as an analogy with the case of curves. We show the non-empti…

math.AG2015★ 3 cited

Semistability of Certain Bundles on Second Symmetric Power of a Curve

Krishanu Dan, Sarbeswar Pal

Let $C$ be a smooth irreducible projective curve and $E$ be a rank 2 stable vector bundle on $C$ . Then one can associate a rank 4 vector bundle $F_{2} (E)$ on $S^{2} (C)$ , seco…

Fano manifolds of Picard number one whose co-tangent bundle is algebraically completely integrable system and its endomorphisms

On a Conjecture of Drinfeld

Existence of Ulrich Bundle on general Surfaces

Stability of Syzygy bundles corresponding to stable vector bundles on algebraic surfaces

Lazarsfeld-Mukai bundles on K3 surfaces associated to a pencil computing Clifford index

Irreducibility of moduli of vector bundles over a very general sextic Surface

Geometry of some moduli of bundles over a very general sextic surface for small second Chern classes and Mestrano-Simpson Conjecture

The wobbly divisors of the moduli space of rank-2 vector bundles

An elementary proof of Lelli Chiesa's theorem on constancy of second coordinate of gonality sequence

Non-emptiness of Brill-Noether Loci over very general quintic hypersurface

Semistability of Certain Bundles on Second Symmetric Power of a Curve

The wobbly divisors of the moduli space of rank- $2$ vector bundles