Skip Navigation



Bulletin of the London Mathematical Society Advance Access published online on April 1, 2008
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdn008
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
40/2/311    most recent
bdn008v1
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 Baba, S.
Right arrow Articles by Granath, H.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2008 London Mathematical Society

Primes of superspecial reduction for QM abelian surfaces

Srinath Baba

Department of Mathematics and Statistics
Concordia University
1455 de Maisonneuve Blvd West
Montréal
Quebec
Canada H3G 1M8
sbaba@mathstat.concordia.ca

Håkan Granath

Department of Mathematics
Karlstad University
65188 Karlstad
Sweden

Received 25 April 2006. Revision received 13 July 2007.

We show that any abelian surface with multiplication by the quaternion Q-algebra of discriminant 6, with field of moduli Q and which is a Jacobian in characteristic 2 and 3, has infinitely many primes of superspecial reduction. This is done by examining complex multiplication points in characteristic 0 and p and the values of a certain j-function on the associated moduli space at these points.

The first author was partially supported by NSERC. The second author was supported by a Marie Curie Intra-European Fellowship under the Sixth Framework Programme of the European Commission (MEIF-CT-2004-501793).

2000 Mathematics Subject Classification 11G18, 14G35, 11G25.


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.