Timeline for (crystalline cohomology version's) Tate's conjecture for K3 surfaces
Current License: CC BY-SA 4.0
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Jun 23, 2023 at 12:38 | comment | added | Yuan Yang | Thank you so much for your answer:). By the way, do you know if there is any crystalline Torelli theorem for non-supersingular K3 surfaces? For example, if two K3s over a finite field $\mathbb{F}_q$ have isomorphic $H^2_{crys}(X/W(\mathbb{F}_q))$(respect both $\phi$ and cup-product), are these two K3s isomorphic abstractly over $\overline{\mathbb{F}_q}$? (I am aware of a crystalline Torelli for supersingular K3s, so I wonder if a similar thing holds for non-supersingular ones) | |
Jun 23, 2023 at 12:32 | vote | accept | Yuan Yang | ||
Jun 23, 2023 at 3:30 | history | answered | Keerthi Madapusi | CC BY-SA 4.0 |