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


Author: Indranil Biswas
Journal: Proc. Amer. Math. Soc. 126 (1998), 2827-2834
MSC (1991): Primary 14F05, 32L10, 53C07
DOI: https://doi.org/10.1090/S0002-9939-98-04429-3
MathSciNet review: 1459109
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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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Additional Information

Indranil Biswas
Affiliation: School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
Email: indranil@math.tifr.res.in

DOI: https://doi.org/10.1090/S0002-9939-98-04429-3
Keywords: Holomorphic connection, flat connection, Harder-Narasimhan filtration
Received by editor(s): February 24, 1997
Communicated by: Ron Donagi
Article copyright: © Copyright 1998 American Mathematical Society

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