ON THE EIGENCURVE AT CLASSICAL WEIGHT 1 POINTS

被引：36

作者：

Bellaiche, Joel ^{[1
]}

Dimitrov, Mladen ^{[2
]}

机构：

[1] Brandeis Univ, Dept Math, Waltham, MA 02254 USA

[2] Univ Lille 1, CNRS, UMR 8524, Unite Format & Rech UFR Math, F-59655 Villeneuve Dascq, France

来源：

DUKE MATHEMATICAL JOURNAL | 2016年 / 165卷 / 02期

基金：

美国国家科学基金会;

关键词：

REPRESENTATIONS; FORMS; UNITS;

D O I：

10.1215/00127094-3165755

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the p-adic eigencurve is smooth at classical weight 1 points which are regular at p and give a precise criterion for etaleness over the weight space at those points. Our approach uses deformations of Galois representations.

引用

页码：245 / 266

页数：22

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