Pradip Kumar

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20232026

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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 $(V, ϕ)$ 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…

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

Lie algebroid connection and Harder-Narasimhan reduction

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