Timeline for Finite etale atlas for Deligne-Mumford stacks
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 2, 2014 at 14:24 | comment | added | Daniel Litt | Fair enough; the root stacks need not be DM in char p, though, as I'm sure you know. | |
| Nov 2, 2014 at 9:05 | comment | added | Niels | About your first comment: it seems better to me to give the simplest possible example than a class including pointless complications such as non-generic stabilizers. About your second comment : I was careful about what you mention. Your quotient stack is interesting but is definitely not a stack of roots. | |
| Nov 1, 2014 at 21:06 | comment | added | Daniel Litt | Oh, and one must be careful in characteristic $p$; for example, $\mathbb{P}^1/(\mathbb{Z}/p\mathbb{Z})$ where $\mathbb{Z}/p\mathbb{Z}$ acts by translations is manifestly not simply connected, even though it has a single orbifold point at $\infty$. | |
| Oct 31, 2014 at 15:41 | comment | added | Daniel Litt | Isn't this the special case of my answer, $\mathcal{P}(1, n)$ (at least in characteristic zero)? (Indeed, it must be, since Behrend-Noohi show that the only smooth proper DM curves are $\mathcal{P}(m, n)$ in characteristic zero.) | |
| Oct 31, 2014 at 13:56 | history | answered | Niels | CC BY-SA 3.0 |