Vector bundles with holomorphic connection over a projective manifold with tangent bundle of nonnegative degree

Biswas, Indranil (1998) Vector bundles with holomorphic connection over a projective manifold with tangent bundle of nonnegative degree Proceedings of the American Mathematical Society, 126 (10). pp. 2827-2834. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/1998-126-10/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9939-98-04429-3

Abstract

For a projective manifold whose tangent bundle is of nonnegative degree, a vector bundle on it with a holomorphic connection actually admits a compatible flat holomorphic connection, if the manifold satisfies certain conditions. The conditions in question are on the Harder-Narasimhan filtration of the tangent bundle, and on the Neron-Severi group.

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Source:Copyright of this article belongs to American Mathematical Society.
ID Code:3439
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