Timeline for Direct summands of a pushforward in the derived category of coherent sheaves
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Jun 8, 2021 at 9:40 | comment | added | naf | @EvgenyShinder: Thanks, I had not thought about this setting. I will take a look at Kawamata's paper. | |
| Jun 8, 2021 at 9:34 | comment | added | Evgeny Shinder | Note that if you replace $i$ by more general proper morphism, e.g. resolution $\pi: Y \to X$ of rational singularities this is presumably unknown: according to Kawamata Lemma 7.4 in arxiv.org/pdf/1903.00801.pdf, the image of $\pi_*$ generates the $D^b(X)$ up to direct summands, but without direct summands this is not known (at least not in the literature and I don't know how to prove it). | |
| Apr 15, 2021 at 2:08 | history | asked | naf | CC BY-SA 4.0 |