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Holomorphic Lie algebroid connections over rationally connected varieties
Indranil Biswas, Anoop Singh
Take a holomorphic Lie algebroid over a rationally connected smooth complex projective variety . We show that, under certain conditions, a vector bundle over adm…
A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection
David Alfaya, Ashima Bansal, Indranil Biswas +1
Given a holomorphic Lie algebroid on a compact connected Riemann surface , we give a necessary and sufficient condition for a parabolic vector bundle on , with parab…
Existence of holomorphic Lie algebroid connections in higher dimensions
Indranil Biswas, Anoop Singh
Let be a holomorphic Lie algebroid over an irreducible smooth complex projective variety of dimension at least three, and let be a holomorphic vector bundle on …
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…
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…
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…
Semiprojectivity of the moduli of principal -bundles with -connections
Sumit Roy, Anoop Singh
Let be a compact connected Riemann surface of genus and a connected reductive affine algebraic group over . We prove the semiprojectivity of the modu…
Line bundles on the moduli space of Lie algebroid connections over a curve
Indranil Biswas, Anoop Singh
We explore algebro-geometric properties of the moduli space of holomorphic Lie algebroid () connections on a compact Riemann surface of genus . A s…