2 citations · 7 across the 16 of their papers we have counts for
18 papers
Seshadri constants of Higgs Vector bundles
Krishna Hanumanthu, Snehajit Misra, Nabanita Ray
We define Seshadri constants for Higgs bundles on smooth projective varieties over algebraically closed fields of characteristic zero. This definition is inspired by and analogous…
Positivity of Higgs Vector Bundles
Indranil Biswas, Snehajit Misra, Nabanita Ray
In \cite{BCO25}, Bruzzo, Capasso and Otero extended the notion of ampleness of vector bundles to the more general context of Higgs bundles. But the ampleness of Higgs bundles did n…
On instability of Syzygy Bundles
Snehajit Misra
In this article, we investigate the instability of syzygy bundles corresponding to globally generated vector bundles on smooth irreducible projective surfaces under change of polar…
Positive cones of -divisor classes
Snehajit Misra, Nabanita Ray
In this article, we define the notion of ample Cartier -divisor classes by using the notion of Seshadri constants for Cartier -divisor classes. In particular, we have shown t…
A remark on the Moduli of parabolic connections
Pradeep Das, Snehajit Misra, Anoop Singh
We consider the moduli space of stable parabolic connections of full flag type with generic rational weights on a compact Riemann surface of genus , with singularities…
On Weak bounded negativity conjecture
Snehajit Misra, Nabanita Ray
In the first part of this article, we give bounds on self-intersections of integral curves on blow-ups of surfaces with the anti-cannonical divisor eff…
On Stability of Syzygy Bundles
Snehajit Misra, Nabanita Ray
In this article, we investigate the stability of syzygy bundles corresponding to ample and globally generated vector bundles on smooth irreducible projective surfaces.
On Serrano's conjecture on Projective bundles
Snehajit Misra
In this article, we investigate Serrano's conjecture for strictly nef divisors on projective bundles over higher dimensional smooth projective varieties.
Some results on Seshadri constants of vector bundles
Indranil Biswas, Krishna Hanumanthu, Snehajit Misra
We study Seshadri constants of certain ample vector bundles on projective varieties. Our main motivation is the following question: Under what conditions are the Seshadri constants…
Slope Semistability and Positive cones of Grassmann bundles
Snehajit Misra, Nabanita Ray
Let be a vector bundle of rank on a smooth complex projective variety . In this article, we compute the nef and pseudoeffective cones of divisors in the Grassmann bundle…
On pseudoeffective cones of projective bundles and volume function
Snehajit Misra, Anoop Singh
In this article, we compute the pseudo-effective cones of various projective bundles over higher dimensional varieties under some assumptions on as well a…
Seshadri constants of parabolic vector bundles
Indranil Biswas, Krishna Hanumanthu, Snehajit Misra +1
Let be a complex projective variety, and let be a parabolic vector bundle on . We introduce the notion of \textit{parabolic Seshadri constants} of . It…
Stability of pullback of orbifold bundles
Soumyadip Das, Snehajit Misra
In this article, we study the behavior of the stability of pullback of a vector bundle under a finite morphism from a (not necessarily smooth) stacky curve to an orbifold curve. We…
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…
Pseudo-effective cones of projective bundles and weak Zariski decomposition
Snehajit Misra
In this article, we consider the projective bundle over a smooth complex projective variety , where is a semistable bundle on with . We…
Nef cones of projective bundles over surfaces and Seshadri constants
Snehajit Misra, Nabanita Ray
In this article, we give a description of the closed cone of curves of the projective bundle over a smooth projective variety . Using duality, we then calculate…
Nef cone and Seshadri constants on products of projective bundles over curves
Rupam Karmakar, Snehajit Misra
Let where is a smooth curve and let , be vector bundles over . In this paper, we extend the results in \cite{K-M-R}…
Stable Higgs Bundles on ruled surfaces
Snehajit Misra
Let be a ruled surface over an algebraically closed field of characteristic 0, with a fixed polarization on . In this paper, w…