Timeline for Degeneration of coadjoint orbits
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2018 at 23:49 | history | edited | YCor | CC BY-SA 3.0 |
fixed typos, added tag
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| Feb 3, 2018 at 22:27 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jan 4, 2018 at 21:42 | history | edited | YCor |
edited tags
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| Jan 4, 2018 at 21:16 | answer | added | Allen Knutson | timeline score: 2 | |
| Dec 9, 2017 at 8:15 | comment | added | user21574 | In general, I think Let $π:X→Δ$ be a regular family of compact complex manifolds over the unit disk $Δ$. Suppose $X_t:=π^{-1}(t)$ is biholomorphic to $S$ for $t≠0$ which $S$ admits Kahler-Einstein metric and the central fiber $X_0$ is Kähler. Then $X_0$ is also biholomorphic to $S$, (by this statement is less related to your question) , note that being central fiber Kahler is strong condition, since in general $X_0$ is Moishezon when general fibers are projective | |
| Dec 9, 2017 at 8:04 | comment | added | user21574 | Your question related to Mok rigidity theory. You must impose some sort of positivity on central fiber. For example if $X_0$ is Kahler then we can say something more. Let $S$ be an irreducible Hermitian symmetric space of compact type. Let $π:X→Δ $ be a regular family of compact complex manifolds over the unit disk $Δ$. Suppose $X_t:=π^{-1}(t)$ is biholomorphic to $S$ for $t≠0$ and the central fiber $X_0$ is Kähler. Then $X_0$ is also biholomorphic to $S$ , see arxiv.org/abs/math/9604227 | |
| Dec 9, 2017 at 7:37 | review | First posts | |||
| Dec 9, 2017 at 8:56 | |||||
| Dec 9, 2017 at 7:33 | history | asked | q123e | CC BY-SA 3.0 |