Iwasawa invariants of galois deformations

被引：12

作者：

Weston, T ^{[1
]}

机构：

[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

来源：

MANUSCRIPTA MATHEMATICA | 2005年 / 118卷 / 02期

关键词：

D O I：

10.1007/s00229-005-0575-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fix a residual ordinary representation (rho) over bar : G(F) --> GL(n)(k) of the absolute Galois group of a number field F. Generalizing work of Greenberg - Vatsal and Emerton - Pollack - Weston, we show that the Iwasawa invariants of Selmer groups of deformations of (rho) over bar depends only on (rho) over bar and the ramification of the deformation.

引用

页码：161 / 180

页数：20

共 12 条

[1]

Bloch S., 1990, PROGR MATH, P333, DOI 10.1007/978-0-8176-4574-8_9

[2] LIFTING MODULAR MOD L REPRESENTATIONS [J].

DIAMOND, F ;

TAYLOR, R .

DUKE MATHEMATICAL JOURNAL, 1994, 74 (02) :253-269

[3]

EMERTON M, 2004, IN PRESS INVENT MATH

[4]

FUJIWARA K, DEFORMATION RINGS HE

[5] On the Iwasawa invariants of elliptic curves [J].

Greenberg, R ;

Vatsal, V .

INVENTIONES MATHEMATICAE, 2000, 142 (01) :17-63

[6]

Greenberg R, 1999, LECT NOTES MATH, V1716, P51

[7]

Greenberg R., 1989, ADV STUDIES PURE MAT, V17, P97

[8] Adjoint Selmer groups as Iwasawa modules [J].

Hida, H .

ISRAEL JOURNAL OF MATHEMATICS, 2000, 120 (2) :361-427

[9] ON THE CONDUCTORS OF MOD GALOIS REPRESENTATIONS COMING FROM MODULAR-FORMS [J].

LIVNE, R .

JOURNAL OF NUMBER THEORY, 1989, 31 (02) :133-141

[10]

PERRINRIOU B, 1994, ASTERISQUE, P185

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