On the homotopy types of Kähler manifolds and the birational Kodaira problem
نویسنده
چکیده
The so-called Kodaira problem left open by this result asked whether more generally any compact Kähker manifold can be deformed to a projective complex manifold. Recently, we solved negatively this question by constructing, in any dimension n ≥ 4, examples of compact Kähler manifolds, which do not deform to projective complex manifolds, as a consequence of the following stronger statement concerning the topology of Kähler compact manifolds:
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تاریخ انتشار 2004