Variétés complexes dont l'éclatée en un point est de FanoComplex manifolds whose blow-up at a point is Fano |
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| Authors: | Laurent Bonavero Frédéric Campana Jarosław A. Wiśniewski |
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| Affiliation: | 1. Institut Fourier, UFR de mathématiques, Université de Grenoble 1, UMR 5582, BP 74, 38402 Saint Martin d''Hères, France;2. Institut Élie Cartan, Université H. Poincaré, Nancy 1, UMR 7502, BP 239, 54506 Vandoeuvre-lès-Nancy cedex, France;3. Instytut Matematyki UW Banacha 2, PL-02-097 Warszawa, Pologne |
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| Abstract: | We classify complex projective manifolds X for which there exists a point a such that the blow-up of X at a is Fano. As a consequence, we get that, in dimension greater or equal than three, the quadric is the only complex manifold X for which there exists two distinct points a and b such that the blow-up of X with center {a,b} is Fano. To cite this article: L. Bonavero et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 463–468. |
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