The structure of uniruled manifolds with split tangent bundle

2006/12/21 by Höring, Andreas · 1 citation
#14E30 #14J40 #32Q30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0612635

Abstract

In this paper we show that a uniruled manifold with a split tangent bundle admits almost holomorphic fibrations that are related to the splitting. We analyse these fibrations in detail in several special cases, this yields new results about the integrability of the direct factors and the universal covering of the manifold.

Cited by

• Characterization of fiberwise bimeromorphism and specialization of bimeromorphic types I: locally Moishezon case

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• Projective manifolds with splitting tangent bundles, I
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• Complex manifolds with split tangent bundle
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