Timeline for CM for radical ideal
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 26, 2010 at 18:22 | comment | added | Karl Schwede | With respect to what I said, it should be "(ie, they are cut out by regular sequences up to radical)." | |
| Nov 26, 2010 at 16:24 | comment | added | Hailong Dao | Michele: the same example works in the power series rings $k[[x_1,\cdots,x_5]]$. In addition to what Karl says, if $I$ is monomial, then what you say is true. | |
| Nov 26, 2010 at 16:07 | comment | added | Michele Torielli | what if R is local?like power series? | |
| Nov 26, 2010 at 15:41 | comment | added | Karl Schwede | The only thing that jumps to my mind is hypersurfaces. In general, there's probably not much you can say. For example, many many varieties are locally set theoretic complete intersections (ie, the radicals are cut out by a regular sequence locally) but don't satisfy any nice properties themselves. Maybe Long will have some more suggestions? | |
| Nov 26, 2010 at 15:20 | vote | accept | Michele Torielli | ||
| Nov 26, 2010 at 15:20 | comment | added | Michele Torielli | ok, is it true adding some restriction on I? | |
| Nov 26, 2010 at 15:12 | history | edited | Hailong Dao | CC BY-SA 2.5 |
added 52 characters in body
|
| Nov 26, 2010 at 15:07 | history | answered | Hailong Dao | CC BY-SA 2.5 |