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

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dc.creatorVoisin, Claire
dc.date2004-10-03
dc.date.accessioned2026-07-07T05:12:49Z
dc.date.available2026-07-07T05:12:49Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0410040
dc.identifierhttp://arxiv.org/abs/math/0410040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72718
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14C30, 32G05,53C55
dc.titleOn the homotopy types of Kaehler manifolds and the birational Kodaira problem
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