Some boundedness results for Fano-like Moishezon manifolds
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2000
- DOI:
- 10.48550/arXiv.math/0001181
- arXiv:
- arXiv:math/0001181
- Bibcode:
- 2000math......1181B
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14J45;
- 14E30;
- 14E05;
- 32J18
- E-Print:
- 8 pages, also available as a "Pr\'epublication de l'Institut Fourier", http://www-fourier.ujf-grenoble.fr/prepublications.html