Timeline for When does $\operatorname{Aut}(X)=\operatorname{Bir}(X)$ hold?
Current License: CC BY-SA 3.0
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| May 28, 2017 at 18:29 | comment | added | Dima Sustretov | @ChristianLiedtke: I hope this comment will be noticed even if the question is from a while ago. You answer is about birational morphisms, is it true for birational maps? if $X$ is a k3 surface, for example, is it true that a birational map $p: X \dashrightarrow X$ is everywhere defined? | |
| Jan 31, 2013 at 15:16 | comment | added | Christian Liedtke | even worse: a general (algebraic) K3 surface contains infinitely many rational curves, giving examples very away from being Kobayashi hyperbolic | |
| Jan 31, 2013 at 12:21 | comment | added | Francesco Polizzi | True, essentially for the uniqueness of the minimal model. It is worth pointing out that in this case $X$ can contain rational curves, in particular it is not necessarily Kobayashi hyperbolic. | |
| Jan 31, 2013 at 11:54 | history | answered | Christian Liedtke | CC BY-SA 3.0 |