Timeline for Can a singular Deligne-Mumford stack have a smooth coarse space?
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Jan 3, 2010 at 21:22 | answer | added | shenghao | timeline score: 1 | |
| Nov 2, 2009 at 19:21 | comment | added | David Zureick-Brown | One more link: the appendix of Kai-Wei's thesis has some good stuff in it too: math.princeton.edu/~klan/academic.html | |
| Nov 2, 2009 at 18:05 | comment | added | David Zureick-Brown | Links: Anton's notes (section 38 on Keel-Mori): math.berkeley.edu/~anton/written/Stacks/Stacks.pdf. Conrad: notes on Keel-Mori: math.stanford.edu/~conrad/papers/coarsespace.pdf. Alper: math.columbia.edu/~jarod/stacks_guide.pdf has a lot good pointers. | |
| Nov 2, 2009 at 18:03 | comment | added | David Zureick-Brown | The map XX --> X is a coarse space if: 1) It is universal for maps to algebraic spaces. 2) It induces a bijection on geometric points (so kbar points for algebraically closed fields kbar). Examples: the coarse space of M_1,1 is A^1, given by the j-invariant map (this is actually a little hard to prove). Easier: the coarse space of BG is a point (or for BG over S, S). This one follows directly from the definitions. Quotients by finite groups are also easy to work out. | |
| Oct 21, 2009 at 14:21 | comment | added | Kevin H. Lin | What does it mean for XX \to X to be a coarse moduli space? | |
| Oct 21, 2009 at 4:47 | vote | accept | David Zureick-Brown | ||
| Oct 21, 2009 at 4:43 | answer | added | Anton Geraschenko | timeline score: 18 | |
| Oct 21, 2009 at 4:24 | history | edited | David Zureick-Brown | CC BY-SA 2.5 |
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| Oct 21, 2009 at 3:05 | history | asked | David Zureick-Brown | CC BY-SA 2.5 |