Timeline for Moduli of curves in characteristic zero
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 13, 2014 at 15:18 | vote | accept | CommunityBot | ||
| Jul 21, 2014 at 5:20 | |||||
| Jul 11, 2014 at 17:50 | answer | added | Puzzled | timeline score: 3 | |
| Jul 11, 2014 at 15:07 | review | First posts | |||
| Jul 11, 2014 at 15:18 | |||||
| Jul 11, 2014 at 15:06 | comment | added | Jason Starr | You are using non-standard notations. The notation $\overline{M}_{g,n}(K)$ usually denotes the set of $K$-valued points of the scheme $\overline{M}_{g,n}$, not a (finite type) $K$-scheme. You could ask, is the natural morphism of $\overline{K}$-schemes, $$\overline{M}_{g,n,\overline{K}} \to \overline{M}_{g,n,K}\times_{\text{Spec}(K)} \text{Spec}(\overline{K})$$ an isomorphism? The answer to this is yes, because the formation of the coarse moduli space is compatible with flat base change. I recommend reading Keel-Mori for a detailed discussion of this property. | |
| Jul 11, 2014 at 14:47 | history | asked | user55899 | CC BY-SA 3.0 |