Timeline for Intermediate moduli spaces of stable maps
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 26, 2018 at 18:03 | comment | added | Jason Starr | I believe we have at least 3 papers on this topic (it was some time ago, perhaps I am confused). | |
| Feb 26, 2018 at 17:13 | comment | added | Puzzled | Thank you very much for your answer. Is the paper you are referring to "THE AMPLE CONE OF THE KONTSEVICH MODULI SPACE"? It seems that here you are working with $X = \mathbb{P}^r$. | |
| Feb 26, 2018 at 11:35 | answer | added | Jason Starr | timeline score: 7 | |
| Feb 26, 2018 at 10:54 | comment | added | Jason Starr | . . . However, the maximal contractions of the coarse moduli space are not coarse moduli spaces of Deligne-Mumford stacks that extend the usual Deligne-Mumford stack over the maximal open where the contraction is an isomorphism. So if you are looking for a moduli interpretation that gives a Deligne-Mumford stack, that does not exist (there is an Artin stack whose good moduli space is the contraction). | |
| Feb 26, 2018 at 10:52 | comment | added | Jason Starr | This depends on what you mean. In the papers of Coskun, Harris, and myself, we wrote down big, basepoint free divisor classes on the coarse moduli space $\overline{M}_{0,n}(G/P,\beta)$ that realize, among others, the contraction discovered also independenty by Adam Parker and Andrei and Magdalena Anca Mustata. As made clear in a paper with Coskun and Harris, this is very related (ultimately derivable from) a divisor class on $\overline{M}_{0,n}$ first written by Kawamata in his work on subadjunction, and proved to be basepoint free by Keel-McKernan. | |
| Feb 26, 2018 at 10:37 | history | asked | Puzzled | CC BY-SA 3.0 |