Timeline for Tangent space of the stack $\overline{\mathcal{M}}_{g,n}(X,\beta)$.
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 2, 2012 at 23:31 | comment | added | Jonathan Wise | Note that the variety must be smooth above. Otherwise there are additional obstructions to deforming the map. | |
| Dec 2, 2012 at 23:29 | answer | added | Jonathan Wise | timeline score: 5 | |
| Dec 2, 2012 at 21:20 | answer | added | Barbara | timeline score: 10 | |
| Nov 30, 2012 at 21:35 | comment | added | Jacob Bell | @jason: do you think you could expand your comments into a full answer? I personally would very much appreciate a detailed explanation of how to compute the cotangent complex of such a space. (actually, now that I think of it, there should be a formula for the cotangent complex of a mapping stack, is there not?) | |
| Nov 30, 2012 at 21:19 | comment | added | Jason Starr | In general it is quite difficult to "combine" deformation theories. There is an article by Jack Hall about the problem of combining deformation theories in general. On the other hand, the late sections of Behrend-Fantechi together with Behrend's paper on Gromov-Witten invariants do this for your moduli problem. | |
| Nov 30, 2012 at 17:56 | comment | added | Zheng | I didn't mean reference request as I thought the claim would follow from my observation about two deformation theory (but I don't know how to combine). Of course I would appreciate any good reference. | |
| Nov 30, 2012 at 14:04 | history | edited | Charles Staats | CC BY-SA 3.0 |
fixed type
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| Nov 30, 2012 at 11:44 | comment | added | Jason Starr | Are you looking for a reference? | |
| Nov 30, 2012 at 8:42 | history | asked | Zheng | CC BY-SA 3.0 |