Timeline for Uniqueness of the canonical etale coverings
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| May 7, 2013 at 22:01 | comment | added | HNuer | @Jason: Also it seems from later on in Kawamata's paper, namely at the end of the proof of Theorem 6.5 on p. 22 (of the version on the Arxiv) where he says explicitly that the canonical covering stack restricted to one of the $U_x$ is the quotient stack $[\tilde{U}_x/\mu_{m_x}]$. So is his stack really the same as your $\mathcal X_m$? I admit that maybe your $\mathcal X_m$ (and not $\mathcal R$) is actually just Cadman's $X_{L,s,r}$. Is this the case? | |
| May 7, 2013 at 21:32 | comment | added | HNuer | @Jason: According to paper of Cadman you're referring to, he indicates in Example 2.4.1 that his root stack, which I'm guessing is your $\mathcal R$, is covered by the quotient stacks $[\tilde{U}_x/\mu_{m_x}]$, as the OP asked about. Is your $\mathcal{X}_m$ then more closely associated to the $\tilde{U}_x$? I'm just trying to see how your description fits in with Kawamata's. For example can you describe an atlas for each of these? | |
| May 6, 2013 at 21:45 | vote | accept | Li Yutong | ||
| May 3, 2013 at 17:03 | history | answered | Jason Starr | CC BY-SA 3.0 |