Timeline for CY fibration over $\mathbb P^1$ without any singular fibers
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 18, 2021 at 19:10 | comment | added | Ariyan Javanpeykar | My bad, I only read the comment of YangMills. | |
| May 18, 2021 at 7:57 | comment | added | Piotr Achinger | @AriyanJavanpeykar yes, I said that in the second point | |
| May 18, 2021 at 6:56 | comment | added | Ariyan Javanpeykar | If $X\to \mathbb{P}^1$ is a family of smooth CY varietues, then it is isotrivial (hence trivial) because of infinitesimal Torelli (for CY varieties) and the fact that the period map has to be constant (because $\mathbb{P}^1$ is simply connected). You do not need VZ. | |
| May 17, 2021 at 17:35 | comment | added | Piotr Achinger | @YangMills You are correct. I was thinking about a CY total space when I wrote that. | |
| May 17, 2021 at 17:29 | comment | added | YangMills | About item 1., why does it imply what the OP wants? There was no assumption on the Kodaira dimension of $X$ being nonnegative | |
| May 16, 2021 at 18:31 | history | answered | Piotr Achinger | CC BY-SA 4.0 |