Timeline for When is a coarse moduli space also a fine moduli space?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Feb 13, 2010 at 5:54 | comment | added | BCnrd | The reason it seems too easy doesn't seem to be the hypothesis that the modulo problem is a DM stack, but rather the fact that DM stacks with trivial geometric automorphism groups are algebraic spaces is not a definition but requires a proof; that is where the work lies. | |
| Jan 3, 2010 at 3:03 | comment | added | Anweshi | Yes, Webster is right. Anweshi gave the citation of GIT, which uses schemes in its definition. | |
| Jan 3, 2010 at 2:50 | history | edited | Ben Webster♦ | CC BY-SA 2.5 |
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| Jan 3, 2010 at 2:49 | comment | added | Ben Webster♦ | That is true. I think Anweshi is assuming that there is a coarse moduli space which is a scheme, which we can thus conclude is a fine moduli space. If you're happy with a coarse moduli space with is an algebraic space, you should be just as happy with a fine moduli space which is an algebraic space. | |
| Jan 3, 2010 at 2:04 | comment | added | Charles Siegel | But the coarse moduli space isn't necessarily a scheme, right? | |
| Jan 3, 2010 at 1:28 | history | answered | Ben Webster♦ | CC BY-SA 2.5 |