Timeline for Integral closure of a regular ring
Current License: CC BY-SA 2.5
3 events
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| Sep 15, 2010 at 16:26 | comment | added | BCnrd | Dear Igor: Presumably you meant for $L/K$ to be finite separable, so $B$ is at least $A$-finite. In general it is very restrictive to expect regularity, but one available condition is given by Abhyankar's Lemma, which comes in several flavors involving "tame ramification". See A.I.11 in Freitag-Kiehl book for a version with $L/K$ Galois. | |
| Sep 15, 2010 at 16:18 | comment | added | user9255 | Ok, so what kind of hypothesis on $A$ or on $L$ could I add in order to have a positive answer ? | |
| Sep 15, 2010 at 16:05 | history | answered | Angelo | CC BY-SA 2.5 |