Timeline for Picard Groups of Moduli Problems
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 10, 2010 at 22:26 | answer | added | roy smith | timeline score: 8 | |
| Jun 22, 2010 at 12:11 | vote | accept | Charles Siegel | ||
| May 20, 2010 at 13:03 | answer | added | Andy Putman | timeline score: 18 | |
| May 20, 2010 at 12:50 | comment | added | Kevin H. Lin | I added some words to the question. Hopefully I guessed your intention correctly. | |
| May 20, 2010 at 12:49 | history | edited | Kevin H. Lin | CC BY-SA 2.5 |
added 21 characters in body; added 1 characters in body
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| May 20, 2010 at 5:44 | comment | added | Charles Siegel | I'm also specifically excluding $\mathcak{M}_1$. Assuming that the statements I've made are true, I'll be satisfied with coarse moduli. I'm thinking of $\mathcal{A}_g$ as the Siegel upper half plane moduli the integral symplectic group, and I'm more than willing to take $\mathcal{M}_g$ to be the GIT quotient of the Hilbert scheme if tricanonically embedded curves moduli the projective linear group. However, I'd been under the (possibly mistaken) impression that the stackiness doesn't matter as much for $g\geq 2$, at least for $\mathcal{M}_g$ as automorphisms are finite. | |
| May 20, 2010 at 5:36 | comment | added | BCnrd | @Charles: you say you'd like to "avoid stacks" if possible, but that also affects the answer (let alone the methods). Just think of $\mathcal{M}_ 1$: the coarse moduli space is the affine line (trivial Pic), whereas the stack has nontrivial Pic ($\mathbf{Z}/12 \mathbf{Z}$). So specifically what do you mean by $\mathcal{M}_ g$ and $\mathcal{A}_ g$? | |
| May 20, 2010 at 4:43 | history | asked | Charles Siegel | CC BY-SA 2.5 |