Timeline for Scheme of irreducible components
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 5, 2016 at 18:15 | comment | added | LSpice | Re @LaurentMoret-Bailly's reference: Matthieu Romagny, "Composantes connexes et irréductibles en familles" (MR). | |
| Oct 1, 2015 at 9:05 | vote | accept | Daniel Loughran | ||
| Sep 30, 2015 at 18:53 | answer | added | Matthieu Romagny | timeline score: 6 | |
| Sep 30, 2015 at 17:51 | comment | added | Laurent Moret-Bailly | You may also have a look at Matthieu Romagny, Manuscripta 136, 1–32 (2011) (in the context of algebraic stacks). | |
| Sep 30, 2015 at 12:53 | comment | added | Jason Starr | You might read Raynaud's article on specialization of the Picard functor. For a specializing family of curves (as in the previous two comments), the nonseparated scheme of irreducible components does play a role in the analysis of the nonseparated scheme that is the closure of the zero section in the nonseparated Picard scheme. | |
| Sep 30, 2015 at 7:21 | comment | added | grghxy | Perhaps you mean "irreducible components of geometric fibers of $\pi$", and it is unclear what exactly is meant by "parameterizes" since even in the case of connected components the sense of "parameterizes" is somewhat weak because the formation of Stein factorization rarely commutes with non-flat base change. Anyway, there is no such construction buried in EGA. | |
| Sep 30, 2015 at 7:20 | comment | added | Martin Bright | If there is, it's not going to be separated: consider a smooth conic degenerating to the union of two lines. | |
| Sep 30, 2015 at 6:40 | history | asked | Daniel Loughran | CC BY-SA 3.0 |