Timeline for Flat map with reduced fibers.
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 3, 2011 at 21:12 | comment | added | Qing Liu | For algebraic varieties over an algebraically closed fields, Q1 follows from EGA IV, Théorème 9.7.7 (the set of $s\in S$ such that $X_s$ is geometrically reduced is locally constructible in $S$) and the Corollaire you cited (which is also the Theorem in Matsumura as pointed out by Angelo). For Q2, if you ask whether $X\times_S S'\to S'$ has reduced fibers for any morphism $S'\to S$, then the answer is clearly yes because the original fibers are geometrically reduced. | |
| Jan 3, 2011 at 19:44 | answer | added | Angelo | timeline score: 4 | |
| Jan 3, 2011 at 14:56 | answer | added | Georges Elencwajg | timeline score: 6 | |
| Jan 3, 2011 at 10:46 | history | asked | kaddar | CC BY-SA 2.5 |