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Characteristic elements for p-torsion iwasawa modules

Abstract:

Let G be a compact p-adic analytic group with no elements of order p. We provide a formula for the characteristic element (J. Coates, et. al., The GL2 main conjecture for elliptic curves without complex multiplication, preprint) of any finitely generated p-torsion module M over the Iwasawa algebra AG of G in terms of twisted μ-invariants of M, which are defined using the Euler characteristics of M and its twists. A version of the Artin formalism is proved for these characteristic elements. We...

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Journal:
Journal of Algebraic Geometry
Volume:
15
Issue:
2
Pages:
339-377
Publication date:
2006-04-05
DOI:
EISSN:
1534-7486
ISSN:
1056-3911
URN:
uuid:fabf861b-dc1a-4575-9190-16a10ffae407
Source identifiers:
399421
Local pid:
pubs:399421
Language:
English

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