Timeline for Pushforward of coherent sheaves and field extensions
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 1, 2017 at 6:55 | vote | accept | user43198 | ||
| Aug 31, 2017 at 20:43 | comment | added | R. van Dobben de Bruyn | To apply the base change theorem (see e.g. Tag 02KH), we should assume $X$ is quasi-separated and quasi-compact, and $\mathscr F$ quasi-coherent (see also Hartshorne, Prop. III.9.3 for an easier argument under slightly stronger assumptions). Otherwise, I don't think I need any assumptions. | |
| Aug 31, 2017 at 17:55 | comment | added | user43198 | To be clear, in your remark, where you give a positive answer to the second question, you do not assume anything about $\mathcal{F}$ or the variety $X$, right? | |
| Aug 31, 2017 at 16:25 | history | answered | R. van Dobben de Bruyn | CC BY-SA 3.0 |