Timeline for Links between Riemann surfaces and algebraic geometry
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 24, 2016 at 12:52 | comment | added | user94803 | Reemphasizing Carnahan's comment, a plane curve must have genus of the form $(d-1)(d-2)/2$, by the genus-degree formula. Hence, in particular, an algebraic curve of genus $2$ cannot be embedded into the plane. | |
| Jan 20, 2011 at 2:35 | comment | added | timur | Is the result you alluded to called Riemann-Roch? | |
| Oct 27, 2009 at 0:18 | comment | added | Ilya Nikokoshev | Yes, I corrected it to refer to non-smooth Riemann surfaces. | |
| Oct 27, 2009 at 0:17 | history | edited | Ilya Nikokoshev | CC BY-SA 2.5 |
corrected
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| Oct 27, 2009 at 0:10 | comment | added | S. Carnahan♦ | Most higher-genus curves cannot be smoothly embedded in the plane, but they fit nicely in three-space. | |
| Oct 26, 2009 at 23:35 | history | edited | Ilya Nikokoshev | CC BY-SA 2.5 |
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| Oct 26, 2009 at 23:10 | history | answered | Ilya Nikokoshev | CC BY-SA 2.5 |