A GENERALIZATION OF GREENBERG'S L-INVARIANT

被引：37

作者：

Benois, Denis ^{[1
]}

机构：

[1] Univ Bordeaux 1, F-33405 Talence, France

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2011年 / 133卷 / 06期

关键词：

ADIC L-FUNCTIONS; IWASAWA THEORY; REPRESENTATIONS; VALUES; CONJECTURES; COHOMOLOGY; FAMILIES; FORMS; BIRCH; (PHI;

D O I：

10.1353/ajm.2011.0043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the theory of (phi, Gamma)-modules we generalize Greenberg's construction of the L-invariant to p-adic representations which are semistable at p. This allows us to formulate a quite general conjecture about the behavior of p-adic L-functions at trivial zeros.

引用

页码：1573 / 1632

页数：60

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