Ordinary reduction of K3 surfaces

被引：15

作者：

Bogomolov, Fedor A. ^{[1
]}

Zarhin, Yuri G. ^{[2
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2009年 / 7卷 / 02期

关键词：

K3; surfaces; Ordinary reduction; l-adic representations; Newton polygons; FINITE-FIELDS; ABELIAN-VARIETIES; GALOIS REPRESENTATION; TATE-CONJECTURE; FROBENIUS; HEIGHT;

D O I：

10.2478/s11533-009-0013-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：206 / 213

页数：8

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