Timeline for Compactly supported sections of coherent sheaves and the dualizing complex
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 20, 2021 at 10:38 | comment | added | Peter Scholze | You're welcome! The solid structure doesn't depend on the compactification (even in the singular case); in fact, the solid structure is defined without reference to a compactification. Only the definition of the $f_!$-functor requires a compactification, as usual. | |
| Dec 20, 2021 at 4:34 | comment | added | Dmitry Vaintrob | Thank you! Somehow I convinced myself that you need extra conditions for the right adjoint to exist, but of course you are right that it works for general proper maps. In the singular case (in characteristic 0), is the solid structure an invariant of the variety, or does it depend on a compactification? | |
| Dec 20, 2021 at 4:30 | vote | accept | Dmitry Vaintrob | ||
| Dec 18, 2021 at 20:41 | history | answered | Peter Scholze | CC BY-SA 4.0 |