Abstract
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 This paper includes T. Ito's unpublished result on Kummer surfaces.
Citation
Yuya Matsumoto. "On good reduction of some K3 surfaces related to abelian surfaces." Tohoku Math. J. (2) 67 (1) 83 - 104, 2015. https://doi.org/10.2748/tmj/1429549580
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