Indranil Biswas

activity

20152026

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4 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…