Timeline for Why $G\to G/H$ is faithfully flat?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 22, 2012 at 6:55 | vote | accept | Jia-jun Ma | ||
| Jul 25, 2012 at 1:53 | |||||
| Jul 21, 2012 at 22:08 | comment | added | user22479 | @Timo: It is better to say "smooth" rather than "reduced" when working with group schemes of finite type over an algebraically closed (or perfect) field, despite the equivalence, since it is the viewpoint of "smoothness" that works more smoothly (ha-ha) over general fields. If $k$ is imperfect of characteristic $p$ then there are reduced affine $k$-groups of finite type that are not smooth (and so become non-reduced after scalar extension to $\overline{k}$); e.g., the ``norm-1'' subgroup of the (smooth!) Weil restriction of ${\rm{GL}}_1$ through a degree-$p$ inseparable extension $k'/k$. | |
| Jul 21, 2012 at 19:01 | comment | added | user19475 | I have edited my answer accordingly. | |
| Jul 21, 2012 at 18:58 | history | edited | user19475 | CC BY-SA 3.0 |
added 39 characters in body
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| Jul 21, 2012 at 16:53 | history | answered | user19475 | CC BY-SA 3.0 |