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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…
On the Chow group of Moduli of parabolic connections
Pradeep Das, Snehajit Misra, Anoop Singh
We consider the moduli space of parabolic connections with rational generic weights over a compact Riemann surface of genus . We determine the Chow group of the moduli sp…
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…