Timeline for Serre functors for non-proper categories
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2019 at 1:22 | comment | added | skr | Sure. Can you cook up a definition using that idea that for quasiprojective varieties, taking T, T' as you sugest, characterizes a functor canonically isomorphic to derived tensor product with the dualizing complex? I'm not an expert on duality in algebraic geometry, unfortunately. | |
| Mar 28, 2019 at 6:22 | comment | added | Sasha | Sometimes you can consider a triangulated category and its subcategory $T' \subset T$ such that when one object is in $T$ and the other is in $T'$ the $Hom$-space is finite dimensional. For instance, one can take $T$ to be the derived category of $X$ and $T'$ the derived category with compact supports. | |
| Mar 28, 2019 at 3:55 | history | asked | skr | CC BY-SA 4.0 |