Canonical subgroups over Hilbert modular varieties

被引：17

作者：

Goren, Eyal Z. ^{[1
]}

Kassaei, Payman L. ^{[2
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

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

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2012年 / 670卷

关键词：

SPACES; FORMS;

D O I：

10.1515/CRELLE.2011.149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain new results on the geometry of Hilbert modular varieties in positive characteristic and morphisms between them. Using these results and methods of rigid geometry, we develop a theory of canonical subgroups for abelian varieties with real multiplication.

引用

页码：1 / 63

页数：63

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