Timeline for Can algebraic number fields be generalized in a similar way to function fields in 1 variable over a finite field?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 28, 2010 at 14:09 | vote | accept | teil | ||
| Mar 21, 2010 at 10:38 | comment | added | Pete L. Clark | Finitely generated as a field extension is not the same as finitely generated as a $k$-algebra. | |
| Mar 21, 2010 at 10:06 | comment | added | Harry Gindi | Either that or I'm wrong, rather! | |
| Mar 21, 2010 at 10:04 | comment | added | Harry Gindi | Wait, Prof. Clark, maybe I'm not reading what you wrote correctly, but it's a theorem of Zariski that given a field k, any finitely generated k-algebra that is also a field is necessarily algebraic, but aren't function fields always transcendental? | |
| Mar 21, 2010 at 9:30 | history | answered | Pete L. Clark | CC BY-SA 2.5 |