Timeline for When does $\operatorname{Aut}(X)=\operatorname{Bir}(X)$ hold?
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4 events
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| Feb 1, 2013 at 21:48 | comment | added | Koopa | I see. Thank you for clarifying the point. | |
| Feb 1, 2013 at 7:15 | comment | added | diverietti | Hi Koppa. Of course if X is projective then the rational function field equals the meromorphic function field. From this it follows easily that any meromorphic mapping $f\colon X\to Y$ between complex projective varieties is indeed rational. When I wrote "more generally", I meant that I was looking at general abstract compact complex manifolds, where the notion of rational mapping is not even defined... | |
| Feb 1, 2013 at 1:04 | comment | added | Koopa | Sorry for a (potentially) stupid question, but could you give me an example of compact $X$ such that $Bir(X)\ne Bim(X)$? | |
| Jan 31, 2013 at 7:44 | history | answered | diverietti | CC BY-SA 3.0 |