Skip Navigation



Bulletin of the London Mathematical Society Advance Access published online on May 3, 2008
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdn034
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
40/3/516    most recent
bdn034v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Dokchitser, T.
Right arrow Articles by Dokchitser, V.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2008 London Mathematical Society

Root numbers of elliptic curves in residue characteristic 2

Tim Dokchitser

Robinson College
Cambridge
CB3 9AN
United Kingdom

Vladimir Dokchitser

Gonville & Caius College
Cambridge
CB2 1TA
United Kingdom
v.dokchitser@dpmms.cam.ac.uk

Received 10 January 2007. Revision received 18 November 2007.

To determine the global root number of an elliptic curve defined over a number field, one needs to understand all the local root numbers. These have been classified except at places above 2, and in this paper we attempt to complete the classification. At places above 2, we express the local root numbers in terms of norm residue symbols in the case when wild inertia acts through a cyclic quotient, and in terms of root numbers of explicit 1-dimensional characters in the case when wild inertia acts through a quaternionic quotient.

The first author was supported by a Royal Society Research Fellowship.

2000 Mathematics Subject Classification 11G07 (primary) 11F80 (secondary).


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.