Indranil Biswas

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20232026

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22 papers · 1 filter

math.AG2026

Monodromy of stratified vector bundles

Indranil Biswas, Manish Kumar, A. J. Parameswaran

We explore the interconnections between the monodromy group of stratified bundles on a smooth projective variety $X$ and the monodromy of the strongly semistable vector bundles $V$ …

math.AG2026

On the Harder-Narasimhan filtration of the direct image of the structure sheaf

Indranil Biswas, Manish Kumar, A. J. Parameswaran

We compute the Harder-Narasimhan filtration of vector bundles $f_{*} O_{Y}$ for certain finite morphisms $f : Y ⟶ X$ and in some other cases.

math.AG2026

Normal Functions, Even Theta Characteristics and the Theta Divisor

Indranil Biswas, Lorenzo Fassina, Gian Pietro Pirola

Let $[C]$ be a general point in the moduli space of curves $M_{g}$ with $g > 1$ . Let $G \subset J (C)$ be a connected compact subgroup of real dimension $1$ of the Jacobian, and let $…

math.AG2026

On the triviality of direct image of coherent sheaves

Indranil Biswas, Jagadish Pine

Let $π : X ⟶ Y$ be a finite morphism of projective varieties defined over an algebraically closed field of characteristic zero. We study the necessary and suff…

math.AG2025

Virtual global generation in higher dimensions

Indranil Biswas, Manish Kumar, A. J. Parameswaran

The notion of virtual global generation (VGG) for a vector bundle has multiple possible generalization from the case of curves to higher dimensional normal projective varieties. We…

math.AG2025

Connections and Higgs bundles on curves defined over a number field

Indranil Biswas, Sudarshan Gurjar

Let $X_{0}$ be an irreducible smooth projective curve defined over $Q$ and $E$ a vector bundle on $X_{0}$ . We give a criterion for connections on the base ch…