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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3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Proves local homogeneity for affine holomorphic geometric structures on Vaisman Calabi-Yau manifolds using a Beauville-Bogomolov decomposition and a new weak Bochner principle, plus infinite fundamental group results for related classes and explicit examples of simply connected non-Kähler Calabi-Yau
A necessary and sufficient condition is given for parabolic vector bundles on Riemann surfaces to admit parabolic Lie algebroid connections.
citing papers explorer
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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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Non-K\"ahler Calabi-Yau manifolds and holomorphic geometric structures
Proves local homogeneity for affine holomorphic geometric structures on Vaisman Calabi-Yau manifolds using a Beauville-Bogomolov decomposition and a new weak Bochner principle, plus infinite fundamental group results for related classes and explicit examples of simply connected non-Kähler Calabi-Yau
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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.