Indranil Biswas

collaborators

4 papers

math.AG2026

Lie algebroid connection and Harder-Narasimhan reduction

Ashima Bansal, Indranil Biswas, Pradip Kumar

Take a holomorphic Lie algebroid $(V, ϕ)$ on a compact connected Riemann surface $X$ such that the anchor map $ϕ$ is not surjective. Let $P$ be a parabolic subgroup of a complex…

math.AG2026

Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles

Ashima Bansal, Indranil Biswas

We prove that under a finite surjective map of irreducible smooth complex projective curves, the pullback and direct image of a parabolic ample (respectively, parabolic nef) vector…

math.AG2025

Semiample vector bundles and a characterization of étale trivial vector bundles

Indranil Biswas, D. S. Nagaraj

We prove that a vector bundle $E$ over a smooth complex projective variety $M$ is étale trivial if and only if $E$ is semiample and $c_{1} (E) \in H^{2} (M, Q)$ vanishes. Also,…

math.AG2025

Blow-up of a generalized flag variety

Indranil Biswas, Pinakinath Saha

Let $G$ be a connected simply connected semisimple complex algebraic group and $P \subset G$ a parabolic subgroup. We give a necessary and sufficient condition for a line bundl…