A projective Kahler manifold $X$ of general type is a manifold which is projective and whose canonical bundle is big and nef. Let $\Phi: X \to X_{can}$ denote the map from $X$ to its canonical model. Is it true that the canonical model of $X$ is always smooth and $\Phi$ has no singular fibers?
Is it true that a projective Kähler manifold of general type has a smooth canonical model and has no singular fibers?
Kaylynn
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