Skip Navigation

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnm128, 19 pages, doi:10.1093/imrn/rnm128 published on January 29, 2008
This Article
Right arrow Full Text (PDF)
Right arrow References
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
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Grushevsky, S.
Right arrow Articles by Lehavi, D.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Copyright © The Author 2008. Published by Oxford University Press.

Some Intersections in the Poincaré Bundle and the Universal Theta Divisor on Formula

Samuel Grushevsky1,

David Lehavi2

1 Mathematics Department, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544, USA
2 Mathematics Department, University of Michigan, 2074 East Hall, 530 Church St, Ann Arbor, USA

Correspondence: Correspondence to be sent to: sam{at}math.princeton.edu

We compute all the top intersection numbers of divisors on the total space of the Poincaré bundle restricted to B x C (where B is an abelian variety, and C sub B is any test curve). We use these computations to find the class of the universal theta divisor and m-theta divisor inside the universal corank 1 semiabelian variety — the boundary of the partial toroidal compactification of the moduli space of abelian varieties. We give two computational examples: we compute the boundary coefficient of the Andreotti–Mayer divisor (computed by Mumford but in a much harder and ad hoc way), and the analog of this for the universal m-theta divisor.

communicated by Prof. Enrico Arbarello


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.