Timeline for Local representation of an analytic sets
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 8, 2010 at 20:04 | answer | added | Jiri Lebl | timeline score: 2 | |
| May 12, 2010 at 9:51 | answer | added | vu viet | timeline score: 0 | |
| May 11, 2010 at 23:28 | comment | added | BCnrd | Giving $V$ its reduced analytic structure, the question is asking whether the local ring at $p$ is a complete intersection ring (due to general facts about Cohen-Macaulay and complete intersection rings; 17.4(iii)(3) and 21.2(ii) in Matsumura's "Commutative Ring Theory" book). It is equivalent to the completion of the local ring being a c.i. ring (21.2(i) in Matsumura). Thus, taking an reduced affine algebraic $\mathbf{C}$-scheme having a non-c.i. point gives (after analytification) a counterexample (by using excellence of analytic and algebraic local rings to track reducedness). | |
| May 11, 2010 at 22:35 | history | asked | vu viet | CC BY-SA 2.5 |