Timeline for Nef and effective cone of minimal conic bundle
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| May 20, 2020 at 13:23 | comment | added | Hans | You are right. What I meant is that there can be fibers that are not geometrically irreducible (I am not working over an algebraically closed field). | |
| May 20, 2020 at 10:48 | comment | added | Pop | Note that if the Picard rank of $S$ is 2, then $\pi$ cannot have any reducible fibres. | |
| May 20, 2020 at 4:39 | comment | added | Hans | Thanks, but I this is not exactly what I need. Note that $\pi$ can have some reducible fibers whereas in Lazarsfeld all fibers are a $\mathbb{P}^1$. | |
| May 20, 2020 at 1:01 | comment | added | R. van Dobben de Bruyn | There is some discussion of nef and effective cones on ruled surfaces in Lazarsfeld's Positivity in algebraic geometry I, §1.5A. I'm not sure if that's exactly what you're looking for. | |
| May 19, 2020 at 17:57 | history | asked | Hans | CC BY-SA 4.0 |