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math.AG2024
A criterion for Lie algebroid connections on a compact Riemann surface
Indranil Biswas, Pradip Kumar, Anoop Singh
Let be a compact connected Riemann surface and a holomorphic Lie algebroid on such that the holomorphic vector bundle is stable. We give a necessary and suffic…
math.AG2024
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.AG2024
Theta functions and projective structures
Indranil Biswas, Alessandro Ghigi, Luca Vai
Given a compact Riemann surface , we consider the line, in the space of sections of on , orthogonal to all the sections that vanish at the origin. This line produce…