ON THE "MAIN CONJECTURE" OF EQUIVARIANT IWASAWA THEORY

被引：25

作者：

Ritter, Juergen ^{[1
]}

Weiss, Alfred ^{[1
]}

机构：

[1] Univ Alberta, Dept Math, Edmonton, AB T6G 2G1, Canada

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 24卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

TOTALLY-REAL FIELDS; ABELIAN PSEUDOMEASURES; CONGRUENCES; VALUES;

D O I：

10.1090/S0894-0347-2011-00704-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：1015 / 1050

页数：36

共 46 条

[1] AN EQUIVARIANT MAIN CONJECTURE IN IWASAWA THEORY AND APPLICATIONS
Greither, Cornelius
Popescu, Cristian D.
JOURNAL OF ALGEBRAIC GEOMETRY, 2015, 24 (04) : 629 - 692
[2] AN EQUIVARIANT MAIN CONJECTURE IN IWASAWA THEORY AND THE COATES-SINNOTT CONJECTURE
Taleb, Reza
DOCUMENTA MATHEMATICA, 2013, 18 : 749 - 783
[3] An Equivariant Main Conjecture in Iwasawa theory without the assumption μ=0
Taleb, Reza
JOURNAL OF NUMBER THEORY, 2017, 171 : 474 - 494
[4] On the non-abelian Brumer–Stark conjecture and the equivariant Iwasawa main conjecture
Henri Johnston
Andreas Nickel
Mathematische Zeitschrift, 2019, 292 : 1233 - 1267
[5] On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture
Johnston, Henri
Nickel, Andreas
MATHEMATISCHE ZEITSCHRIFT, 2019, 292 (3-4) : 1233 - 1267
[6] The main conjecture of Iwasawa theory for totally real fields
Kakde, Mahesh
INVENTIONES MATHEMATICAE, 2013, 193 (03) : 539 - 626
[7] ON THE IWASAWA MAIN CONJECTURE FOR THE DOUBLE PRODUCT
Delbourgo, Daniel
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 377 (09) : 6225 - 6250
[8] Iwasawa main conjecture for the Carlitz cyclotomic extension and applications
Angles, Bruno
Bandini, Andrea
Bars, Francesc
Longhi, Ignazio
MATHEMATISCHE ANNALEN, 2020, 376 (1-2) : 475 - 523
[9] PROOF OF THE MAIN CONJECTURE OF NONCOMMUTATIVE IWASAWA THEORY FOR TOTALLY REAL NUMBER FIELDS IN CERTAIN CASES
Kakde, Mahesh
JOURNAL OF ALGEBRAIC GEOMETRY, 2011, 20 (04) : 631 - 683
[10] Congruences of algebraic p-adic L-functions and the Main Conjecture of Iwasawa Theory
Du Kim, Byoung
JOURNAL OF NUMBER THEORY, 2021, 226 : 168 - 212

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