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Article Dans Une Revue Mathematische Zeitschrift Année : 2007

Uniruled varieties with split tangent bundle

Résumé

Beauville asked if a compact Kaehler manifold with splitting tangent bundle has a universal covering that is a product of manifolds. We use Mori theory and elementary results about holomorphic foliations to study this problem for projective uniruled varieties. In particular we obtain an affirmative answer for rationally connected varieties in any dimension and uniruled varieties in dimension 4.

Dates et versions

hal-00140223 , version 1 (05-04-2007)

Identifiants

Citer

Andreas Höring. Uniruled varieties with split tangent bundle. Mathematische Zeitschrift, 2007, à paraître. ⟨10.1007/s00209-006-0072-5⟩. ⟨hal-00140223⟩
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