Liftings of reduction maps for quaternion algebras

被引：1

作者：

Cornut, Christophe ^{[1
]}

Jetchev, Dimitar ^{[2
]}

机构：

[1] CNRS, Inst Math Jussieu, F-75252 Paris 05, France

[2] Ecole Polytech Fed Lausanne, IC IIF LACAL, CH-1015 Lausanne, Switzerland

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2013年 / 45卷

关键词：

SELBERG L-FUNCTIONS; SUBCONVEXITY PROBLEM; HEEGNER; EQUIDISTRIBUTION; POINTS;

D O I：

10.1112/blms/bds098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct liftings of reduction maps from complex multiplication (CM) points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefinite quaternion algebras with a given conductor and CM points on certain corresponding totally definite quaternion algebras.

引用

页码：370 / 386

页数：17

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