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For questions about or involving complex manifolds.
2
votes
Minimal complex surfaces with pseudo-effective canonical bundles
Edit: My answer deals with the projective case.
First of all, for any projective manifold, $K_X$ is pseudoeffective if and only if $X$ is not uniruled (Boucksom-Demailly-Paun-Peternell).
In the cas …
16
votes
When does $\operatorname{Aut}(X)=\operatorname{Bir}(X)$ hold?
To complete the answer of Diverietti and the comment of Roy Smith, here is a statement which might interest you:
Theorem If $X$, $Y$ are varieties over a field $k$, assume $X$ is smooth and $Y$ proper …