Timeline for associated primes and distinguished triangles
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 22, 2020 at 18:16 | comment | added | Pavel Čoupek | So the issue is that cokernel "may produce new associated points". If you replaced "$\mathrm{Ass}$" with "$\mathrm{Supp}$" everywhere, the analogue of $(*)$ should be true. This is probably not close enough to $(*)$, though. | |
| Oct 22, 2020 at 16:25 | comment | added | Pavel Čoupek | By the way, you can make the counterexample even simpler (and a bit more transparent as to what goes wrong): The short exact sequence $0 \rightarrow 2\mathbb{Z} \rightarrow \mathbb{Z} \rightarrow \mathbb{Z}/2 \rightarrow 0$ sitting as complexes in degree $0$ gives a d.t., but by rotating the triangle you can get the $\mathbb{Z}/2$ into the middle. | |
| Oct 22, 2020 at 11:28 | comment | added | the L | This does not answer your question, but I feel it is worth pointing out that your definition of associated primes for complexes is "wrong". For a correct definition, see mscand.dk/article/view/14336/12333 | |
| Oct 21, 2020 at 23:20 | history | asked | Avi Steiner | CC BY-SA 4.0 |