Timeline for Integral transform on noncommutative spaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 6, 2015 at 16:38 | comment | added | Romie Banerjee | @ZhaotingWei, Thanks for the Toen reference! | |
| Apr 6, 2015 at 14:50 | comment | added | Zhaoting Wei | Yes I agree. I think that it is a little bit more complicated to express the quasi-representability under the self-duality but I'm not sure about the details. | |
| Apr 6, 2015 at 14:17 | comment | added | Daniel Pomerleano | To avoid possible competing definitions/confusion, let's assume $X$ is a sufficiently nice scheme over a field $k$. The self-duality you need here is not a very complicated thing---- you take a perfect complex $P$ to it's linear dual $RHom(P,O_X)$ to obtain a functor $Perf(X) \to Perf(X)^{op}$. Passing to co-limit completions gives the required self-duality. Being able to perform this last step is one of the key points of the perfect definition. | |
| Apr 6, 2015 at 13:59 | history | edited | Zhaoting Wei | CC BY-SA 3.0 |
added 28 characters in body
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| Apr 6, 2015 at 12:44 | history | answered | Zhaoting Wei | CC BY-SA 3.0 |