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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