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Does anyone have a reference for the definition of a canonically polarized manifold? Typically, at least from what I have seen, a polarized manifold is a compact Kähler manifold $X$ together with an ample line bundle $L \to X$. I cannot seem to find a definition of canonically polarized, however.

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Canonically polarised means that the polarising line bundle L is a power of the canonical bundle (top exterior power of the cotangent bundle). In particular it only makes sense if the canonical bundle is ample.

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  • $\begingroup$ @Johnny Thank you! $\endgroup$
    – AmorFati
    Commented Oct 4, 2019 at 7:54

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