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math.DG2025
Higher genus Angel surfaces
Rivu Bardhan, Indranil Biswas, Shoichi Fujimori +1
We prove the existence of complete minimal surfaces in of arbitrary genus and least total absolute curvature with precisely two ends -- one catenoidal…
math.AG2025
A criterion for holomorphic Lie algebroid connections
David Alfaya, Indranil Biswas, Pradip Kumar +1
Given a holomorphic Lie algebroid on a compact connected Riemann surface , we give a necessary and sufficient condition for a holomorphic vector bundle on to ad…
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…