Characteristic ideals and Selmer groups
Bandini, Andrea ![ORCID Identifier](/img/uab/orcid.ico)
(Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy))
Bars Cortina, Francesc ![ORCID Identifier](/img/uab/orcid.ico)
(Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Longhi, Ignazio ![ORCID Identifier](/img/uab/orcid.ico)
(Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University)
Date: |
2015 |
Abstract: |
Let A be an abelian variety defined over a global field F of positive characteristic p and let F/F be a ZpN-extension, unramified outside a finite set of places of F. Assuming that all ramified places are totally ramified, we define a pro-characteristic ideal associated to the Pontrjagin dual of the p-primary Selmer group of A. To do this we first show the relation between the characteristic ideals of duals of Selmer groups for a Zpd-extension Fd/F and for any Zpd-1-extension contained in Fd, and then use a limit process. Finally, we give an application to an Iwasawa Main Conjecture for the non-noetherian commutative Iwasawa algebra Zp[[Gal(F/F)]] in the case A is a constant abelian variety. |
Grants: |
Ministerio de Economía y Competitividad MTM2013-40680-P
|
Rights: |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. ![Creative Commons](/img/licenses/by-nc-nd.ico) |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió sotmesa a revisió |
Subject: |
Characteristic ideals ;
Iwasawa theory ;
Selmer groups |
Published in: |
Journal of Number Theory, Vol. 157 (December 2015) , p. 530-546, ISSN 0022-314X |
DOI: 10.1016/j.jnt.2015.05.011
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Record created 2021-05-20, last modified 2022-03-05