A GENERALIZATION OF GREENBERG'S L-INVARIANT

被引：36

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

共 50 条

[41] A GENERALIZATION OF MIXED INVARIANT-SETS
FEISTE, U
MATHEMATIKA, 1988, 35 (70) : 198 - 206
[42] INVARIANT IMBEDDING AS A GENERALIZATION OF RESOLVENT EQUATION
MOCKEL, A
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (12) : 2318 - &
[43] GENERALIZATION OF THE ERMAKOV-LEWIS INVARIANT
MOREIRA, ID
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1982, 54 (03): : 477 - 478
[44] GAUGE INVARIANT GENERALIZATION OF WIGNER DISTRIBUTION
STRATONOVICH, RL
DOKLADY AKADEMII NAUK SSSR, 1956, 109 (01): : 72 - 75
[45] A GENERALIZATION OF THE HOPF INVARIANT .2.
WHITEHEAD, GW
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (11) : 1084 - 1085
[46] Invariant Information Bottleneck for Domain Generalization
Li, Bo
Shen, Yifei
Wang, Yezhen
Zhu, Wenzhen
Reed, Colorado
Li, Dongsheng
Keutzer, Kurt
Zhao, Han
THIRTY-SIXTH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE / THIRTY-FOURTH CONFERENCE ON INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE / TWELVETH SYMPOSIUM ON EDUCATIONAL ADVANCES IN ARTIFICIAL INTELLIGENCE, 2022, : 7399 - 7407
[47] Invariant learning of multilayer networks for generalization
Ishii, M
Kumazawa, I
IJCNN'01: INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-4, PROCEEDINGS, 2001, : 1767 - 1771
[48] On Greenberg?s generalized conjecture
Assim, J.
Boughadi, Z.
JOURNAL OF NUMBER THEORY, 2023, 242 : 576 - 602
[49] A criterion for Greenberg's conjecture
Caputo, Luca
Nuccio, Filippo Alberto Edoardo
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (08) : 2741 - 2744
[50] Hank Greenberg's revenge
不详
FORBES, 2007, 180 (11): : 84 - +

← 1 2 3 4 5 →