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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 …
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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 …
Henri's user avatar
  • 2,727