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Pré-Publication, Document De Travail Année : 2004

On the homotopy types of Kaehler manifolds and the birational Kodaira problem

Claire Voisin
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  • PersonId : 749603
  • IdHAL : clvoisin

Résumé

We recently constructed examples of compact Kaeler manifolds which do not have the homotopy type of a projective complex manifold. They were however obtained by blowing-up certain complex tori, which are themselves deformation equivalent to complex projective manifolds. Thus it remained possible that in higher dimension, a birational version of Kodaira's theorem still holds. We construct however in this paper compact Kaehler manifolds, no birational model of which has the homotopy type of a projective manifold.

Dates et versions

hal-00021781 , version 1 (25-03-2006)

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Claire Voisin. On the homotopy types of Kaehler manifolds and the birational Kodaira problem. 2004. ⟨hal-00021781⟩
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