Timeline for examples of moduli functors for which coarse moduli space does not exists
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 11, 2013 at 12:41 | comment | added | IMeasy | @Brenin: no problem, it is a cute example! | |
| Feb 11, 2013 at 0:57 | comment | added | Jason Starr | I think Brenin's example is valid: isomorphism class probably means "up to projective equivalence". In this case, this stack is an open substack of Jim Bryan's stack $\mathfrak{M}_{0,0}$ above, and fails to have a coarse moduli space for the same reason. | |
| Feb 10, 2013 at 19:06 | comment | added | Brenin | I mean a scheme $M$ such that $M(\mathbb C)$ is in bijection with $F(\textrm{Spec }\mathbb C)$. I'm sorry if it is not the right word. | |
| Feb 10, 2013 at 17:49 | comment | added | IMeasy | Classifying space: you mean a scheme that parametrizes the whole thing? Like $\mathbb{P}^5 - Ven_2(\mathbb{P}^2)$ in your case. | |
| Feb 9, 2013 at 19:03 | history | answered | Brenin | CC BY-SA 3.0 |