Timeline for Pushforward maps for cohomology of coherent sheaves
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 26, 2017 at 11:29 | comment | added | Sasha | @DavidLoeffler Not at all! Serre duality, as you mentioned, works only in projective setting, while the adjoint functor for a closed embedding always exists. Of course, when Serre functors exist you can express the right adjoint functor in terms of the left adjoint and duality isomorphisms, but I would say that right adjoint functor is more fundamental than Serre duality. | |
| Nov 25, 2017 at 13:35 | comment | added | David Loeffler | @Sasha Defining the map as being "induced by the right adjoint of the pushforward functor" is essentially re-stating Serre duality. What I was hoping for was a direct description of $\iota_*$ (one not going via duality). | |
| Nov 25, 2017 at 10:30 | comment | added | Leo Alonso | In other words, the map is induced by the residue along $Z$. | |
| Nov 25, 2017 at 9:50 | history | answered | Sasha | CC BY-SA 3.0 |