Timeline for Real analytic subvariety in complex manifold which is complex outside of its singular set
Current License: CC BY-SA 4.0
5 events
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Sep 1, 2022 at 14:22 | comment | added | Misha Verbitsky | Z is not a comples subvariety, an u is not closed; it is not har to find varieties which are not close, an the smallest complex subvariety containing them is the whole ambient variety; take, for instance, the graph of exponent in P2 | |
Aug 30, 2022 at 18:57 | comment | added | Tom Goodwillie | How can $Z$ be Zariski dense without $U$ being Zariski dense? I confess that I am confused about local-versus-global issues. | |
Aug 30, 2022 at 17:50 | comment | added | Misha Verbitsky | I am not sure this could work; there is nothing prohibiting $Z'=M$, then $U'=M$ as well, your assumption $U=Z\cap U'$ will fail. however, it is not hard to find small-dimensional real analytic subvarieties which are Zariski dense. | |
Aug 28, 2022 at 19:02 | history | edited | Tom Goodwillie | CC BY-SA 4.0 |
added 130 characters in body
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Aug 28, 2022 at 12:39 | history | answered | Tom Goodwillie | CC BY-SA 4.0 |