Timeline for Does a resolution of a rational singularity have rationally connected fibers?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 24, 2021 at 12:28 | vote | accept | Misha Verbitsky | ||
| Sep 23, 2021 at 18:32 | comment | added | Sasha | The rationality of singularity condition is $H^{>0}(S, \oplus_{k \ge 0} L^k) = 0$, where $L$ is the ample line bundle defining the embedding. In particular, $H^{>0}(S,\mathcal{O}_S) = 0$ is necessary, so K3 surface won't work. But some surface of general type, such as fake projective planes, do work. | |
| Sep 23, 2021 at 18:27 | comment | added | Ariyan Javanpeykar | Does this also work for the cone over a K3 surface or a surface of general type? | |
| Sep 23, 2021 at 17:44 | history | answered | Sasha | CC BY-SA 4.0 |