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Timeline for Curves on a Kahler manifold

Current License: CC BY-SA 4.0

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May 30, 2020 at 22:32 vote accept user110111
May 26, 2020 at 22:33 vote accept user110111
May 30, 2020 at 22:32
May 23, 2020 at 3:28 answer added Hacon timeline score: 4
May 22, 2020 at 21:48 comment added user110111 Yes, $X$ is compact and the projective case should follow from a Hilbert scheme argument.
May 22, 2020 at 21:47 history edited user110111 CC BY-SA 4.0
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May 22, 2020 at 20:44 comment added Donu Arapura It should be true when $X$ is a projective manifold by considering the map from the Hilbert to Chow schemes. Perhaps the same thing works more generally using Douady and Barlet spaces (assuming compactness)?
May 22, 2020 at 20:15 comment added diverietti I guess you want $X$ to be compact right?
May 22, 2020 at 18:46 history asked user110111 CC BY-SA 4.0