Timeline for Reference request for general Hurwitz spaces
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 9, 2016 at 14:33 | vote | accept | rfauffar | ||
| Jun 9, 2016 at 14:33 | answer | added | rfauffar | timeline score: 2 | |
| Jun 4, 2016 at 21:53 | comment | added | Jason Starr | I just saw that what I am calling "Hurwitz's irreducibility theorem" is actually due jointly to L"uroth, Clebsch, and Hurwitz. | |
| Jun 3, 2016 at 12:05 | comment | added | rfauffar | Dear Jason, thanks for your comment. I think you're right, that the construction should be analogous to the classical case. I will take a look at the papers you describe. | |
| Jun 3, 2016 at 4:47 | comment | added | Jason Starr | If you do not fix $C'$, then how do you define the classical Hurwitz schemes where $C'$ is a smooth, projective genus $0$ curve? Anyway, for topological properties, it will not make much difference whether or not you fix $C'$. Some of the modern references are by Fulton, particularly in positive characteristic. The generalization to arbitrary $C'$ of Hurwitz's irreducibility theorem (in characteristic 0) has been "rediscovered" many times, perhaps first in the thesis of Richard Hamilton, but then also by Gabai-Kazez and others (at one time, Graber, Harris, and I needed this as well). | |
| Jun 3, 2016 at 2:44 | history | edited | rfauffar | CC BY-SA 3.0 |
added 37 characters in body
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| Jun 3, 2016 at 2:43 | comment | added | rfauffar | Sorry, yes! I will edit it right away. | |
| Jun 3, 2016 at 2:03 | comment | added | benblumsmith | Is $C'$ the quotient of $C$ by the action of $G$? If not, what's the connection between $G,\delta$ and $f$? | |
| Jun 3, 2016 at 1:09 | history | asked | rfauffar | CC BY-SA 3.0 |