Timeline for Reference request, direct summand conjecture in dimension 2
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 6, 2010 at 4:56 | comment | added | Karl Schwede | Long, thanks. That's very helpful. | |
| Oct 6, 2010 at 4:56 | vote | accept | Karl Schwede | ||
| Oct 6, 2010 at 2:39 | comment | added | Hailong Dao | Karl, the other way I know is via the monomial conjecture, the reduction to that case is elementary: you need that the extension is cyclically pure, and it's enough to use ideals gen. by powers of elements in a s.o.p. In dimension 2, monomial conjecture amounts to showing $x^ty^t \notin (x^{t+1},y^{t+1})$ for all $t>0$, $x,y$ s.o.p. Probably that has an elementary proof. | |
| Oct 5, 2010 at 20:45 | vote | accept | Karl Schwede | ||
| Oct 5, 2010 at 20:45 | |||||
| Oct 5, 2010 at 20:45 | comment | added | Karl Schwede | I looked in Mel's CBMS book before asking, but I didn't see this there. That's a very nice proof, thanks! Do you know of any other approaches? | |
| Oct 5, 2010 at 17:58 | comment | added | Hailong Dao | May be Mel's CBMS note has a reference? Embarrassingly, I do not own a copy (-:. | |
| Oct 5, 2010 at 17:37 | history | answered | Hailong Dao | CC BY-SA 2.5 |