A necessary and sufficient condition is established for the existence of holomorphic Lie algebroid connections on vector bundles over irreducible smooth complex projective varieties of dimension at least three.
Tortella, -modules and holomorphic Lie algebroid connections, Cent
2 Pith papers cite this work. Polarity classification is still indexing.
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A necessary and sufficient condition is given for parabolic vector bundles on Riemann surfaces to admit parabolic Lie algebroid connections.
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Existence of holomorphic Lie algebroid connections in higher dimensions
A necessary and sufficient condition is established for the existence of holomorphic Lie algebroid connections on vector bundles over irreducible smooth complex projective varieties of dimension at least three.
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A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection
A necessary and sufficient condition is given for parabolic vector bundles on Riemann surfaces to admit parabolic Lie algebroid connections.