Timeline for fibers of birational contraction for complex manifolds - are they Moishezon?
Current License: CC BY-SA 3.0
16 events
when toggle format | what | by | license | comment | |
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S Oct 12, 2023 at 19:15 | vote | accept | Misha Verbitsky | ||
S Oct 12, 2023 at 19:15 | vote | accept | Misha Verbitsky | ||
S Oct 12, 2023 at 19:15 | |||||
May 22, 2018 at 15:05 | vote | accept | Misha Verbitsky | ||
S Oct 12, 2023 at 19:15 | |||||
Mar 2, 2018 at 13:14 | vote | accept | Misha Verbitsky | ||
May 22, 2018 at 15:05 | |||||
Mar 1, 2018 at 19:00 | answer | added | pgraf | timeline score: 2 | |
May 11, 2017 at 19:46 | vote | accept | Misha Verbitsky | ||
Mar 2, 2018 at 13:14 | |||||
Apr 17, 2017 at 15:51 | answer | added | Jason Starr | timeline score: 4 | |
Apr 17, 2017 at 13:30 | history | edited | Misha Verbitsky | CC BY-SA 3.0 |
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Apr 17, 2017 at 12:27 | comment | added | Misha Verbitsky | I think Moishezon is enough for my purposes, so I removed the first 2 questions. Thanks for all comments | |
Apr 17, 2017 at 12:25 | history | edited | Misha Verbitsky | CC BY-SA 3.0 |
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Apr 17, 2017 at 12:24 | comment | added | Misha Verbitsky | the question was silly - I am sorry. I should add the assumption that M is Calabi-Yau, | |
Apr 17, 2017 at 12:17 | comment | added | Jason Starr | Regarding (c), a rationally connected, Moishezon analytic space need not be simply connected: for instance a nodal plane cubic has infinite fundamental group. | |
Apr 17, 2017 at 12:16 | comment | added | Jason Starr | If you impose that $Y$ has Kawamata log terminal singularities, then there are positive results. First of all, certainly $Z$ will not be rationally connected, but it is rationally chain connected if $Y$ is Moishezon. This follows from the solution of Shokurov's conjecture by Hacon and McKernan. | |
Apr 17, 2017 at 12:11 | comment | added | Jason Starr | As darx points out, your conjectures (a) and (b) are false. You can begin with any curve in any surface, blow up a large number of closed points in the curve, and then contract the strict transform of the curve. | |
Apr 17, 2017 at 11:49 | comment | added | Darx | Given a smooth surface you can blow down any curves with negative self intersection... | |
Apr 17, 2017 at 11:46 | history | asked | Misha Verbitsky | CC BY-SA 3.0 |