Timeline for Serre duality graded singularity category
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 8, 2023 at 4:59 | comment | added | user26857 | @Libli On M.SE someone asked for a reference of the Auslander "famous" result; see here. Could you help him? | |
| Dec 3, 2017 at 15:17 | comment | added | Libli | @GregStevenson : I don't believe that. I have the feeling it is infinitely more difficult to computer the Serre functor of the singularity category in the graded case than in the local case. | |
| Dec 3, 2017 at 12:11 | comment | added | Greg Stevenson | Not off the top of my head. I don't recall having seen it written down explicitly for what that's worth (which is not much). The proof is more or less the same as in the ungraded case though and you can guess the answer from the graded analogue of local duality. | |
| Dec 3, 2017 at 10:49 | history | edited | Libli |
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| Dec 3, 2017 at 10:44 | comment | added | Libli | @GregStevenson Thanks for the comment. Do you have any reference? | |
| Dec 3, 2017 at 9:35 | comment | added | Greg Stevenson | It's almost the same (assuming said nice finiteness conditions) but you also need to shift the grading by the Gorenstein parameter (or its inverse, the sign isn't always the same in the literature and I find it hard to keep track in any case), which is, up to said sign, the grading shift that shows up on the copy of $E(k)$, the injective envelope of the residue field, in the last term of the minimal injective resolution of $A$. | |
| Dec 3, 2017 at 8:24 | history | edited | YCor |
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| Dec 3, 2017 at 0:39 | history | asked | Libli | CC BY-SA 3.0 |