Automorphic Forms and Galois Representations: On the local structure of ordinary Hecke algebras at classical weight one points
Automorphic Forms and Galois Representations: On the local structure of ordinary Hecke algebras at classical weight one points
复制标题
自守形式和伽罗瓦表示：关于经典权重一点的普通 Hecke 代数的局部结构
DOI：
10.1017/cbo9781107297524.002
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Mladen Dimitrov
中科院分区：
文献类型：
--
作者：
Mladen Dimitrov
本文的目的是解释如何从特征曲线在相应点的几何中获得关于希达族中经典权一特征形的成员信息。我们表明，在通过，所有的经典成员的希达家庭，包括那些重量1，共享相同的本地类型在所有素数划分的水平。
The aim of this paper is to explain how one can obtain information regarding the membership of a classical weight one eigenform in a Hida family from the geometry of the Eigencurve at the corresponding point. We show, in passing, that all classical members of a Hida family, including those of weight one, share the same local type at all primes dividing the level.