Some boundedness results for Fano-like Moishezon manifolds

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We prove finiteness of the number of smooth blow-downs on Fano manifolds and boundedness results for the geometry of non projective Fano-like manifolds. Our proofs use properness of Hilbert schemes and Mori theory.
8 pages, also available as a "Prépublication de l'Institut Fourier", http://www-fourier.ujf-grenoble.fr/prepublications.html

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