Timeline for Is there any rational curve on an Abelian variety?
Current License: CC BY-SA 2.5
5 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Dec 16, 2009 at 19:25 | comment | added | Fei YE | The decomposition of inseparable map looks like the Zariski Main theorem which says, any morphism can be decomposed into a morphism with connected fibers and a finite morphism. Are those the same thing? Is there any relations between them? | |
Dec 16, 2009 at 11:06 | comment | added | Jorge Vitório Pereira | Thanks for bringing that up. I have edited my answer accordingly. | |
Dec 16, 2009 at 11:03 | history | edited | Jorge Vitório Pereira | CC BY-SA 2.5 |
added 1251 characters in body; added 16 characters in body
|
Dec 16, 2009 at 4:35 | comment | added | Felipe Voloch | This is a nice and direct way to see it in characteristic zero but, in positive characteristics, you need to worry about inseparability. Your argument still works once you factor the map through a power of Frobenius. | |
Dec 16, 2009 at 3:43 | history | answered | Jorge Vitório Pereira | CC BY-SA 2.5 |