Bonavero, Laurent; Takayama, Shigeharu

Some boundedness results for Fano-like Moishezon manifolds

Doc. Math., J. DMV 5, 141-150 (2000)

Summary

Summary: 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.

Mathematics Subject Classification

14J45, 14E30, 14E05, 32J18

Keywords/Phrases

Fano manifolds, non projective manifold, smooth blow-down, mori theory, Hilbert scheme

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