Timeline for $K3$ surfaces in $\mathbb P^1 \times \mathbb P^1 \times \mathbb P^1$
Current License: CC BY-SA 4.0
3 events
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| May 1, 2022 at 15:19 | comment | added | Joe Silverman | @user69559 Fair enough, but you said that there is a 17-dimensional family of such surfaces (up to isomorphism) and that you "do not see any obstacles which prevent such a pair from existing," so I was noting that picard number 3 is probably an obstacle, so you'll need to look within the (countably many?) subfamilies of dimension 16 having picard number ${}\ge4$ for an example. | |
| May 1, 2022 at 12:00 | comment | added | Basics | I also expect that such a K3 surface $S$ is not a generic one. I simply would like to know whether such a K3 surface exists, regardless of generic or not. | |
| May 1, 2022 at 11:48 | history | answered | Joe Silverman | CC BY-SA 4.0 |