Some boundedness results for Fano-like Moishezon manifolds

Mathematics – Algebraic Geometry

Scientific paper

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8 pages, also available as a "Pr\'epublication de l'Institut Fourier", http://www-fourier.ujf-grenoble.fr/prepublications.html

Scientific paper

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.

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