Vol. 7, No. 7, 2013

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18
Issue 12, 2133–2308
Issue 11, 1945–2131
Issue 10, 1767–1943
Issue 9, 1589–1766
Issue 8, 1403–1587
Issue 7, 1221–1401
Issue 6, 1039–1219
Issue 5, 847–1038
Issue 4, 631–846
Issue 3, 409–629
Issue 2, 209–408
Issue 1, 1–208

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1944-7833 (online)
ISSN 1937-0652 (print)
 
Author index
To appear
 
Other MSP journals
Analytic families of finite-slope Selmer groups

Jonathan Pottharst

Vol. 7 (2013), No. 7, 1571–1612
Abstract

We develop a theory of Selmer groups for analytic families of Galois representations, which are only assumed “ordinary” on the level of their underlying (φ,Γ)-modules. Our approach brings the finite-slope nonordinary case of Iwasawa theory onto an equal footing with ordinary cases in which p is inverted.

Keywords
Iwasawa theory, Selmer group, families of Galois representations, $(\varphi, \Gamma)$-modules
Mathematical Subject Classification 2010
Primary: 11R23
Secondary: 11R34, 12G05
Milestones
Received: 17 August 2011
Revised: 28 July 2012
Accepted: 17 December 2012
Published: 12 October 2013
Authors
Jonathan Pottharst
Department of Mathematics and Statistics
Boston University
111 Cummington Mall
Boston, MA
02215
United States