Pradip Kumar

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math.AG2026

Logarithmic spectral correspondence for $V$ --twisted Higgs bundles on punctured curves

Pradip Kumar

Let $X$ be a smooth projective complex curve, $P \subset X$ a reduced effective divisor, and $X^{0} = X ∖ P$ . We study logarithmic $V$ -twisted Higgs bundles arising from a loga…

math.AG2026

Lie algebroid connection and Harder-Narasimhan reduction

Ashima Bansal, Indranil Biswas, Pradip Kumar

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

math.AG2025

Parabolic vector bundles and Lie algebroid connections

David Alfaya, Indranil Biswas, Pradip Kumar +1

Given a holomorphic Lie algebroid on an m-pointed Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure ov…

math.AG2025

A criterion for holomorphic Lie algebroid connections

David Alfaya, Indranil Biswas, Pradip Kumar +1

Given a holomorphic Lie algebroid $(V, I ¨ )$ on a compact connected Riemann surface $X$ , we give a necessary and sufficient condition for a holomorphic vector bundle $E$ on $X$ to a…

math.AG2025

Remarks on Higgs bundles twisted by a vector bundle

David Alfaya, Indranil Biswas, Pradip Kumar

For any V-twisted Higgs bundle on a compact Riemann surface X, where V is a holomorphic vector bundle of rank two on X, there are two associated Higgs bundles on X, twisted by line…

Logarithmic spectral correspondence for V--twisted Higgs bundles on punctured curves

Lie algebroid connection and Harder-Narasimhan reduction

Parabolic vector bundles and Lie algebroid connections

A criterion for holomorphic Lie algebroid connections

Remarks on Higgs bundles twisted by a vector bundle

Logarithmic spectral correspondence for $V$ --twisted Higgs bundles on punctured curves