2-ADIC INTEGRAL CANONICAL MODELS

被引：50

作者：

Kim, Wansu ^{[1
]}

Pera, Keerthi Madapusi ^{[2
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

[2] Univ Chicago, Dept Math, 5734 S Univ Ave, Chicago, IL 60637 USA

来源：

FORUM OF MATHEMATICS SIGMA | 2016年 / 4卷

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

P-DIVISIBLE GROUPS;

D O I：

10.1017/fms.2016.23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use Lau's classification of 2-divisible groups using Dieudonne displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where the level is hyperspecial.

引用

页数：34

共 29 条

[1] On the Shafarevich and Tate conjectures for hyperkahler varieties [J].

Andre, Y .

MATHEMATISCHE ANNALEN, 1996, 305 (02) :205-248

[2]

Andreatta F., 2015, PREPRINT

[3]

[Anonymous], 2001, PROG MATH

[4]

ARTIN M, 1974, ANN SCI ECOLE NORM S, V7, P543

[5]

BERTHELOT P, 1982, LECT NOTES MATH, V930, pR3

[6]

Blasius D., 1994, P S PURE MATH, V55, P293

[7]

BLOCH S, 1986, PUBL MATH-PARIS, P107

[8] The Tate conjecture for K3 surfaces over finite fields [J].

Charles, Francois .

INVENTIONES MATHEMATICAE, 2013, 194 (01) :119-145

[9]

Deligne P., 1977, P S PURE MATH 2, P247

[10] Integral crystalline cohomology over very ramified valuation rings [J].

Faltings, G .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 12 (01) :117-144

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