Rational connectedness of log $Q$-Fano varieties

Details Rational connectedness of log $Q$-Fano varieties Rational connectedness of log $Q$-Fano varieties

2004-08-23

arxiv.org/abs/math/0408301v3

Mathematics

Algebraic Geometry

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

Scientific paper

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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