Timeline for Understanding the definition of the quotient stack $[X/G]$
Current License: CC BY-SA 3.0
4 events
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| Aug 26, 2015 at 16:25 | comment | added | abx | In the case $S=\mathrm{Spec}\mathbb{C}$ I think bijectivity is enough: since $G$ acts transitively $X$ is normal, and a bijective map of normal varieties is an isomorphism (in char. $0$). | |
| Aug 26, 2015 at 13:54 | comment | added | Brenin | Hi @abx! In the torsor condition that you quote, you really mean isomorphism of schemes, or is it enough to have a bijection on closed points? (let us say $S=\textrm{Spec }\mathbb C$ for simplicity) Thanks in advance! | |
| Mar 6, 2014 at 12:50 | history | edited | ACL | CC BY-SA 3.0 |
Completing reference
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| Mar 6, 2014 at 11:08 | history | answered | abx | CC BY-SA 3.0 |