Timeline for Fundamental Examples
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 9, 2013 at 6:16 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
fixed tex
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| Nov 11, 2009 at 19:33 | history | made wiki | Post Made Community Wiki by Kim Morrison | ||
| Nov 11, 2009 at 14:09 | comment | added | Gil Kalai | I see, I guess it is a concrete example! (and even a popular one.) | |
| Nov 11, 2009 at 10:28 | comment | added | Georges Elencwajg | Dear Gil and Jonas:thanks for the comments and, yes, you are both right. Hartogs's example-theorem shows that there exist in C^n domains which are not regions of holomorphy,a phenomenon impossible in dimension one.This launched the notion of pseudoconvex domains (which exclude Hartogs-type extensions of holomorphic functions) and ultimately led to the concept of Stein manifolds, central in complex geometry (the analogues of affine varieties in algebraic geometry) | |
| Nov 11, 2009 at 9:52 | comment | added | Jonas Meyer | Perhaps this answer refers to a class of examples, the punctured open sets of C^n when n>1, of domains which are not domains of holomorphy. | |
| Nov 11, 2009 at 8:56 | comment | added | Gil Kalai | It is interesting, but this is a theorem, not an example right? | |
| Nov 11, 2009 at 8:45 | history | answered | Georges Elencwajg | CC BY-SA 2.5 |