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.
Laurent-Gengoux, M
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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.