Pritthijit Biswas

activity

20212026

collaborators

5 papers

math.AG2026

Parabolic Lie algebroid connections on parabolic principal bundles over curves

Indranil Biswas, Pritthijit Biswas

Let $X$ be a compact connected Riemann surface and $S \subset X$ a finite subset. We consider parabolic principal $G$ --bundles $E_{G}$ on $X$ with parabolic structure…

math.AG2025

A note on the Brill-Noether loci of small codimension in moduli space of stable bundles

Pritthijit Biswas, Jaya NN Iyer

Let $X$ be a smooth projective curve of genus $g$ over the field $C$ . Let $M_{X} (2, L)$ denote the moduli space of stable rank $2$ vector bundles on $X$ with fixed determin…

math.DG2024

Cohomology of flag bundles over compact Hermitian locally symmetric spaces

Pritthijit Biswas, Parameswaran Sankaran

Let $E \to B$ be a complex analytic fiber bundle with fiber $F$ , a flag variety over a compact complex manifold $B$ . We shall obtain a description of the cohomology of $E$ when $B=X…

math.CV2022

Homological methods in certain Picard group computations

Pritthijit Biswas

Let $G$ be a connected complex semisimple Lie group, $Γ$ be a cocompact, irreducible and torsionless lattice in $G$ and $K$ be a maximal compact subgroup of $G$ . Assume $Γ$ acts by…

math.DG2021

Picard groups of certain compact complex parallelizable manifolds and related spaces

Pritthijit Biswas, Parameswaran Sankaran

Let $G$ be a complex simply connected semisimple Lie group and let $Γ$ be a torsionless uniform irreducible lattice in $G$ . Then $Γ\ G$ is a compact complex non-Kähler man…