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Rational connectedness of log Q-Fano varieties
Veröffentlicht/Copyright:
27. April 2006
Abstract
In this paper, we give an affirmative answer to a conjecture in the Minimal Model Program. We prove that log Q-Fano varieties are rationally connected. We also study the behavior of the canonical bundles under projective morphisms.
Received: 2004-08-30
Revised: 2005-01-19
Published Online: 2006-04-27
Published in Print: 2006-01-26
© Walter de Gruyter
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Artikel in diesem Heft
- Rough solutions of the Einstein constraint equations
- Theta functions of arbitrary order and their derivatives
- Extended deformation of Kodaira surfaces
- Métriques de sous-quotient et théorème de Hilbert-Samuel arithmétique pour les faisceaux cohérents
- Sheaves of t-structures and valuative criteria for stable complexes
- Rational connectedness of log Q-Fano varieties
- Operator synthesis II: Individual synthesis and linear operator equations
- Moufang quadrangles of type E6 and E7
- Tannakian Krull-Schmidt reduction
Artikel in diesem Heft
- Rough solutions of the Einstein constraint equations
- Theta functions of arbitrary order and their derivatives
- Extended deformation of Kodaira surfaces
- Métriques de sous-quotient et théorème de Hilbert-Samuel arithmétique pour les faisceaux cohérents
- Sheaves of t-structures and valuative criteria for stable complexes
- Rational connectedness of log Q-Fano varieties
- Operator synthesis II: Individual synthesis and linear operator equations
- Moufang quadrangles of type E6 and E7
- Tannakian Krull-Schmidt reduction
