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.
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页码：1573 / 1632
页数：60
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