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\centerline{\large \bf Numerical characterization of the K\"ahler
cone of a compact K\"ahler manifold. }

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\centerline{Mihai Pau} \centerline{\it Universit\'e de Strasbourg }


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We present here a joint work with Jean-Pierre
Demailly; our main result states that the
K\"ahler cone of a compact K\"ahler manifold
depends only on the intersection form of the
cohomology ring, the Hodge structure and the
homology classes of analytic cycles. As a
consequence of this fact, we obtain a result
about the behaviour of the K\"ahler cone under
deformations.

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