Timeline for Derived functor giving algebraic map between moduli
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 23, 2018 at 15:08 | comment | added | Sasha | I am not sure that this has been proved. | |
| Oct 23, 2018 at 14:36 | comment | added | Xuqiang QIN | And I suppose as in the coherent case, any fully faithful embedding of $D^b(A)$ into $D^b(X)$ would be FM in the above sense right? Thanks again! | |
| Oct 23, 2018 at 14:15 | vote | accept | Xuqiang QIN | ||
| Oct 23, 2018 at 14:13 | comment | added | Sasha | Yes, in this case you replace $D^b(X \times Y)$ by $D^b(X,A \otimes O_X)$, the derived category of sheaves of $A \otimes O_X$-modules on $X$. | |
| Oct 23, 2018 at 13:12 | comment | added | Xuqiang QIN | Thank you for your answer. One follow up question: if the functor is a fully faithfull embedding of D^b(A-mod) into D^b(X) for a finite algebra $A$ and smooth $X$, is there a notion of Fourier- Mukai functor for this situation? | |
| Oct 23, 2018 at 4:28 | history | answered | Sasha | CC BY-SA 4.0 |