Timeline for Conic bundles on quartic del Pezzo surfaces
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
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Aug 9, 2016 at 11:39 | vote | accept | Daniel Loughran | ||
Aug 9, 2016 at 9:34 | comment | added | Sasha | Conic bundles on $S$ come from degenerate quadrics (by projecting from their vertices) in the pencil of quadrics passing through $S$ in its anticanonical embedding. Under the above condition only one such quadric is defined over $k$, hence only two conic bundles are defined over $k$, and for these two the bases are just the bases of conic bundles on $S_0$. And yes, $S_0$ is $C \times C$. | |
Aug 9, 2016 at 7:34 | comment | added | Daniel Loughran | Where do the conic bundles on $S$ come from? Are you taking something like $S_0 = C \times C$? | |
Aug 8, 2016 at 22:05 | history | answered | Sasha | CC BY-SA 3.0 |