Ordinary reduction of K3 surfaces

Fedor Bogomolov; Yuri Zarhin

Open Mathematics (2009)

  • Volume: 7, Issue: 2, page 206-213
  • ISSN: 2391-5455

Abstract

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Let X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension E/K such that X has ordinary reduction at every non-archimedean place of E outside a density zero set of places.

How to cite

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Fedor Bogomolov, and Yuri Zarhin. "Ordinary reduction of K3 surfaces." Open Mathematics 7.2 (2009): 206-213. <http://eudml.org/doc/269618>.

@article{FedorBogomolov2009,
abstract = {Let X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension E/K such that X has ordinary reduction at every non-archimedean place of E outside a density zero set of places.},
author = {Fedor Bogomolov, Yuri Zarhin},
journal = {Open Mathematics},
keywords = {K3 surfaces; Ordinary reduction; ℓ-adic representations; Newton polygons; ordinary reduction; -adic representations},
language = {eng},
number = {2},
pages = {206-213},
title = {Ordinary reduction of K3 surfaces},
url = {http://eudml.org/doc/269618},
volume = {7},
year = {2009},
}

TY - JOUR
AU - Fedor Bogomolov
AU - Yuri Zarhin
TI - Ordinary reduction of K3 surfaces
JO - Open Mathematics
PY - 2009
VL - 7
IS - 2
SP - 206
EP - 213
AB - Let X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension E/K such that X has ordinary reduction at every non-archimedean place of E outside a density zero set of places.
LA - eng
KW - K3 surfaces; Ordinary reduction; ℓ-adic representations; Newton polygons; ordinary reduction; -adic representations
UR - http://eudml.org/doc/269618
ER -

References

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