Journal of the Ramanujan Mathematical Society

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Holomorphic Connection on a Fano Manifold with Picard Number One


Affiliations
1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road Mumbai-400005, India
2 Institut de Mathematiques, de Jussieu Boite 247 4, Place Jussieu 75 252, Paris Cedex 05, France
     

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Let X be a smooth projective manifold. Assume that X is Fano with Picard number one. Let J5bea holomorphic vector bundle over X admitting a holomorphic connection. We prove that E admits a flat holomorphic connection.
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  • Holomorphic Connection on a Fano Manifold with Picard Number One

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Authors

Indranil Biswas
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road Mumbai-400005, India
Christophe Mourougane
Institut de Mathematiques, de Jussieu Boite 247 4, Place Jussieu 75 252, Paris Cedex 05, France

Abstract


Let X be a smooth projective manifold. Assume that X is Fano with Picard number one. Let J5bea holomorphic vector bundle over X admitting a holomorphic connection. We prove that E admits a flat holomorphic connection.