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- W2897022057 abstract "We generalize Mukai and Shafarevich's definitions of isogenies between K3 surfaces over $mathbb{C}$ to an arbitrary perfect field and describe how to construct isogenous K3 surfaces over $bar{mathbb{F}}_p$ by prescribing linear algebraic data when $p$ is large. The main step is to show that isogenies between Kuga-Satake abelian varieties induce isogenies between K3 surfaces, in the context of integral models of Shimura varieties. As a byproduct, we show that every K3 surface of finite height admits a CM lifting under a mild assumption on $p$." @default.
- W2897022057 created "2018-10-26" @default.
- W2897022057 creator A5009089567 @default.
- W2897022057 date "2018-10-19" @default.
- W2897022057 modified "2023-09-27" @default.
- W2897022057 title "Isogenies between K3 Surfaces over $bar{mathbb{F}}_p$" @default.
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- W2897022057 doi "https://doi.org/10.48550/arxiv.1810.08546" @default.
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