Snehajit Misra

activity

20182022

collaborators

5 papers

math.AG2022

Slope Semistability and Positive cones of Grassmann bundles

Snehajit Misra, Nabanita Ray

Let $E$ be a vector bundle of rank $r$ on a smooth complex projective variety $X$ . In this article, we compute the nef and pseudoeffective cones of divisors in the Grassmann bundle…

math.AG2021

On the relative logarithmic connections and relative residue formula

Snehajit Misra, Anoop Singh

We investigate the relative logarithmic connections on a holomorphic vector bundle over a complex analytic family. We give a sufficient condition for the existence of a relative lo…

math.AG2020

Pseudo-effective cones of projective bundles and weak Zariski decomposition

Snehajit Misra

In this article, we consider the projective bundle $P_{X} (E)$ over a smooth complex projective variety $X$ , where $E$ is a semistable bundle on $X$ with $c_{2} (E n d (E)) = 0$ . We…

math.AG2018

Nef cone and Seshadri constants on products of projective bundles over curves

Rupam Karmakar, Snehajit Misra

Let $X = P (E_{1}) \times_{C} P (E_{2})$ where $C$ is a smooth curve and let $E_{1}$ , $E_{2}$ be vector bundles over $C$ . In this paper, we extend the results in \cite{K-M-R}…

math.AG2018

Stable Higgs Bundles on ruled surfaces

Snehajit Misra

Let $π : X = P_{C} (E) ⟶ C$ be a ruled surface over an algebraically closed field $k$ of characteristic 0, with a fixed polarization $L$ on $X$ . In this paper, w…