Timeline for Easiest proof for showing finite etale (analytic) quotients of algebraic varieties are algebraic
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Feb 17, 2017 at 8:06 | comment | added | Dan Petersen | I agree that there is no problem in the projective case. | |
| Feb 17, 2017 at 7:55 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Feb 17, 2017 at 7:52 | comment | added | Francesco Polizzi | Any element $g \in G$ gives a biholomorphism $\varphi_g \colon X \to X$. If $X$ is projective, this should be a projective automorphism by GAGA, right? So the action of $G$ on $X$ is actually an algebraic one. | |
| Feb 17, 2017 at 7:39 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Feb 17, 2017 at 7:34 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Feb 17, 2017 at 7:33 | comment | added | Dan Petersen | But we don't know that G acts algebraically, right? A priori it only acts by holomorphic automorphism's. | |
| Feb 17, 2017 at 7:25 | history | answered | Francesco Polizzi | CC BY-SA 3.0 |