Timeline for Blow-ups of surfaces over a field
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Jul 31, 2021 at 18:11 | vote | accept | CommunityBot | ||
Jul 30, 2021 at 15:52 | comment | added | Will Sawin | @R_O For a generic bundle on a high-genus curve, or blown up at enough points, there are no automorphisms, so no twists of this form that you can make. | |
Jul 30, 2021 at 15:50 | comment | added | user329228 | @ Will Sawin: Wouldn't be enough to assume the existence of a suitable extension of $K$ as you did in your first example? | |
Jul 30, 2021 at 15:25 | comment | added | Will Sawin | @R_O I'm pretty sure there will again be positive and negative examples in this setting. | |
Jul 30, 2021 at 15:21 | comment | added | user329228 | Thank you. In the case I am looking at $\overline{S}$ is the blow-up of a ruled surface at a bunch of points. Do you think in this case my question could have a positive answer? | |
Jul 30, 2021 at 15:07 | history | answered | Will Sawin | CC BY-SA 4.0 |