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Rational connectedness of log $Q$-Fano varieties

Qi Zhang
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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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Qi Zhang. 2005-01-31. Rational connectedness of log $Q$-Fano varieties. https://arxiv.org/abs/math/0408301

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