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Rational connectedness of log Q-Fano varieties

2004/08/23 by Qi Zhang, Zhang, Qi · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0408301

Minor modifications. To appear in J. reine angew. Math

arxiv created 2005/01/31 · arxiv updated 2009/12/01

Abstract

In this paper, we give an affirmative answer to a conjecture in the Minimal Model Program. We prove that log Q-Fano varieties of dim n are rationally connected. We also study the behavior of the canonical bundles under projective morphisms.

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