Journal article

### Selmer varieties for curves with CM Jacobians

Abstract:
We study the Selmer variety associated to a canonical quotient of the $\Q_p$-pro-unipotent fundamental group of a smooth projective curve of genus at least two defined over $\Q$ whose Jacobian decomposes into a product of abelian varieties with complex multiplication. Elementary multi-variable Iwasawa theory is used to prove dimension bounds, which, in turn, lead to a new proof of Diophantine finiteness over $\Q$ for such curves.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

### Access Document

Files:
• (pdf, 252.7KB)
Publisher copy:
10.1215/0023608X-2010-015

### Authors

More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Publisher:
Duke University Press Publisher's website
Journal:
Kyoto Journal of Mathematics Journal website
Volume:
50
Issue:
4
Pages:
827-852
Publication date:
2008-01-01
DOI:
EISSN:
2154-3321
ISSN:
2156-2261
URN:
uuid:cef4fd16-2998-4a34-88b8-259622ba90f5
Source identifiers:
308627
Local pid:
pubs:308627
Keywords: