Timeline for Normal fibrations
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 11, 2011 at 9:02 | vote | accept | Rurik | ||
| Nov 9, 2011 at 18:08 | comment | added | Karl Schwede | Daniel, even for the Frobenius, the generic fiber is still ok, right? Consider $F : R \to R$ the Frobenius acting on a domain, the generic fiber is just $K^{1/p}$ (where $K$ is the fraction field of $R$). You are right though in my answer, if I want to pass to other fibers I need the generic fiber to be geometrically normal. | |
| Nov 9, 2011 at 13:49 | comment | added | Daniel Loughran | Can't funny things happen in characteristic $p$? For example if $f$ is the Frobenius then the fibres will be non-reduced but connected, and so the generic fibre will also be non-reduced and hence singular. Or should your definition of fibration exclude this, i.e. you actually want a smooth morphism? | |
| Nov 9, 2011 at 12:45 | answer | added | Karl Schwede | timeline score: 7 | |
| Nov 9, 2011 at 11:11 | history | asked | Rurik | CC BY-SA 3.0 |