Skip to main content

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
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