ON GOOD REDUCTION OF SOME K3 SURFACES RELATED TO ABELIAN SURFACES
2015 年 67 巻 1 号 p. 83-104
詳細
2015 年 67 巻 1 号 p. 83-104
The Néron–Ogg–Šafarevič criterion for abelian varieties tells that the Galois action on the $l$-adic étale cohomology of an abelian variety over a local field determines whether the variety has good reduction or not. We prove an analogue of this criterion for a certain type of K3 surfaces closely related to abelian surfaces. We also prove its $p$-adic analogue. This paper includes T. Ito's unpublished result on Kummer surfaces.
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