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Hyperbolicity and inequality for variety of general type

$\DeclareMathOperator\BMY{BMY}$Let $(X,H)$ be a smooth, complex, projective, polarized variety of dimension $n\geq3$, whose canonical bundle $K_X$ is big and nef. Is it know whether the inequality $\ …
Armando j18eos's user avatar
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Hyperbolicity and inequality for variety of general type

Since $X$ admits a Kähler-Einstein metric [Theorem 2,3] and [Theorem 1,2], if $K_X$ is ample the inequality holds with $H=K_X$, by [Theorem IV.4.16,1]. [1] S. Kobayashi (1987) Differential Geometry o …
Armando j18eos's user avatar