Geodesic
Some boundedness results for Fano-like Moishezon manifolds
Documenta mathematica, Tome 5 (2000), pp. 141-150
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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.
DOI : 10.4171/dm/77
Classification : 14E05, 14E30, 14J45, 32J18
Mots-clés : Hilbert scheme, Fano manifolds, non projective manifold, smooth blow-down, mori theory 
@article{10_4171_dm_77,
     author = {Laurent Bonavero and Shigeharu Takayama},
     title = {Some boundedness results for {Fano-like} {Moishezon} manifolds},
     journal = {Documenta mathematica},
     pages = {141--150},
     year = {2000},
     volume = {5},
     doi = {10.4171/dm/77},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/77/}
}
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Laurent Bonavero; Shigeharu Takayama. Some boundedness results for Fano-like Moishezon manifolds. Documenta mathematica, Tome 5 (2000), pp. 141-150. doi: 10.4171/dm/77

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