Pradip Kumar

activity

20232026

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6 papers · 1 filter

math.DG2026

On the complete maximal maps and their singularities

Rivu Bardhan, Indranil Biswas, Pradip Kumar +1

This article investigates the global structure of maximal surfaces (space-like immersions with zero mean curvature) in Lorentz-Minkowski $3$ -space $E_{1}^{3}$ , especially focu…

math.QA2026

Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves

Indranil Biswas, Satyajit Guin, Pradip Kumar

We extend Atiyah's holomorphic jet bundle formalism to holomorphic vector bundles over noncommutative algebras endowed with a bigraded differential calculus truncated at bidegree $…

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.DG2026

Finite-energy equivariant minimal immersions in $CH^{2}$ with fixed-lift proper cusp ends

Indranil Biswas, Pradip Kumar, John Loftin

Let $Σ_{0} = Σ ∖ {z_{1}, \dots, z_{n}}$ be a finite-type hyperbolic Riemann surface, with its universal cover being identified with $H$ . We prove that a finite-ener…

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.QA2026

Fixed points and Holomorphic Structures on Line Bundles over the Quantum Projective Line