Construction of some families of 2-dimensional crystalline representations

被引：0

作者：

Laurent Berger

Hanfeng Li

Hui June Zhu

机构：

[1] Department of Mathematics,Department of Mathematics

[2] University of Toronto,Department of Mathematics

[3] McMaster University,undefined

来源：

Mathematische Annalen | 2004年 / 329卷

关键词：

Modular Form; Analytic Family; Reduction Modulo; Crystalline Representation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct explicitly some analytic families of étale (φ,Γ)-modules, which give rise to analytic families of 2-dimensional crystalline representations. As an application of our constructions, we verify some conjectures of Breuil on the reduction modulo p of those representations, and extend some results (of Deligne, Edixhoven, Fontaine and Serre) on the representations arising from modular forms.

引用

页码：365 / 377

页数：12

共 11 条

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[2] Breuil undefined(2003)undefined J. Inst. Math. Jussieu 2 23-undefined
[3] Breuil undefined(2002)undefined gif” Format=”GIF” Color=”BlackWhite” Type=”Linedraw” Rendition=”HTML”> en l=p. With an appendix by Guy Henniart. Duke Math. J. 115 205-undefined
[4] Colmez undefined(1999)undefined J. Reine Angew. Math. 514 119-undefined
[5] Colmez undefined(2002)undefined J. Inst. Math. Jussieu 1 331-undefined
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[7] Dee undefined(2001)undefined J. Algebra 235 636-undefined
[8] Edixhoven undefined(1992)undefined Invent. Math. 109 563-undefined
[9] Fontaine undefined(4)undefined Ann. Sci. École Norm. Sup. 15 547-undefined
[10] Wach undefined(1996)undefined Bull. Soc. Math. France 124 375-undefined

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