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- W2952478029 abstract "Arithmetic of K3 surfaces defined over finite fields is investigated. In particular, we show that any K3 surface of finite height over a finite field k of characteristic p > 3 has a quasi-canonical lifting to characteristic 0, and that for any such lifting, the endormorphism algebra of the transcendental cycles, as a Hodge module, is a CM field. The Tate conjecture for the product of certain two K3 surfaces is also proved. We illustrate by examples how to determine explicitly the formal Brauer group associated to a K3 surface over k. Examples discussed here are all of hypergeometric type." @default.
- W2952478029 created "2019-06-27" @default.
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- W2952478029 date "2007-09-13" @default.
- W2952478029 modified "2023-09-27" @default.
- W2952478029 title "K3 surfaces of finite height over finite fields" @default.
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