Proposition 3.10 . [0278]

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Proposition 3.10.

If $X$ is projective, $L$ is generated by global sections, and $h$ is semipositive, then the sequence

\left\{\frac{1}{m}\log\frac{|\raisebox{1.72218pt}{.}|^{\mathrm{quot}}_{h^{m}}(x)}{|\raisebox{1.72218pt}{.}|_{h^{m}}(x)}\right\}_{m=1}^{\infty}

converges to $0$ uniformly on $X^{\mathrm{an}}$ .