Isogenies of elliptic curves and the Morava stabilizer group

被引：8

作者：

Behrens, Mark ^{[1
]}

Lawson, Tyler ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2006年 / 207卷 / 01期

基金：

美国国家科学基金会;

关键词：

Morava stabilizer group; supersingular elliptic curves; quaternion algebras;

D O I：

10.1016/j.jpaa.2005.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S-2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over F-p, O the ring of endomorphisms of C, and l a topological generator of Z(p)(x) (or Z(2)(x)/{+/- 1} if p = 2). We show that for p > 2 the group Gamma subset of O[1/l](x) of quasi-endomorphisms of degree a power of e is dense in S-2. For p = 2, we show that Gamma is dense in an index 2 subgroup of S2. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：37 / 49

页数：13

共 15 条

[1] A modular description of the K(2)-local sphere at the prime 3 [J].