I need the proof (reference) of Mori’s theorem about this implication : Let $X$ be a projective complex manifold. If $X$ contains no rational curves, then $K_K$ is nef.

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A more precise form of this result is originally due to Miyaoka and Mori, see Theorem 3.6 page 67 in

Olivier Debarre: Higher-dimensional algebraic geometry, Universitext. New York, NY: Springer. xiii, 233 p. (2001). ZBL0978.14001.

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  • $\begingroup$ Thank you, but the problem that It is not available on the internet Do you have a pdf version $\endgroup$ – Kamel Aug 1 at 21:44
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    $\begingroup$ I have a paper copy. At any rate, you can find the same result in these GAEL notes by Debarre: math.ens.fr/~debarre/NotesGAEL.pdf $\endgroup$ – Francesco Polizzi Aug 1 at 21:48
  • $\begingroup$ Okay, thank you so much $\endgroup$ – Kamel Aug 1 at 22:05

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