Timeline for Stein manifolds with "wrong" minimal dimension of embedding
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 17, 2021 at 16:40 | vote | accept | Denis T | ||
| Jan 13, 2021 at 3:03 | comment | added | Ben Wieland | Surely you need a hypothesis relating the Stein structure to the embedding (as in Zippy's answer). I think that the right hypothesis is a smooth embedding, a holomorphic immersion, and a path through smooth immersions between them. The h-principle should produce such a structure from any reasonable weaker hypothesis. From such a structure, you can build a holomorphic embedding. Some fragment of this is in one of the h-principle books, maybe the full statement, maybe just an analogue of Haefliger's embedding theorem. In any event, the statement is true by the Goodwillie-Weiss manifold calculus. | |
| Jan 12, 2021 at 18:42 | answer | added | Zippy | timeline score: 2 | |
| Jan 11, 2021 at 20:03 | comment | added | Michael Albanese | Sorry, I was not familiar with the phrase "complex sphere". | |
| Jan 11, 2021 at 20:02 | comment | added | Denis T | Complex sphere, as I wrote! Level set of a nondegenrate quadratic form on $\Bbb C^8$. | |
| Jan 11, 2021 at 19:59 | comment | added | Michael Albanese | Which complex structure are you equipping $\mathbb{R}^{14}\setminus\mathbb{R}^6$ with? | |
| Jan 11, 2021 at 14:14 | history | asked | Denis T | CC BY-SA 4.0 |