Timeline for Cohen-Macaulyness of Milnor algebra
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 30, 2022 at 17:26 | vote | accept | Serge the Toaster | ||
| Jun 9, 2022 at 15:00 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| May 10, 2022 at 12:54 | answer | added | Jason Starr | timeline score: 0 | |
| May 10, 2022 at 10:27 | comment | added | Jason Starr | I already wrote a counterexample to that as an answer to the following question: mathoverflow.net/questions/421209/… As a corollary of the local flatness theorem, a morphism from a Cohen-Macaulay space to a smooth space is flat if the fiber dimension is constant. When you apply this to your ring (under the hypothesis that it is Cohen-Macaulay) and to the ring $\mathbb{C}\{x_n\}$, you conclude injectivity of the "multiplication by $x_n$" map. In particular, the image of $x_n$ in your ring is not a zero divisor. | |
| May 9, 2022 at 7:50 | history | asked | Serge the Toaster | CC BY-SA 4.0 |