- 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
- Files:
-
-
(pdf, 252.7KB)
-
- Publisher copy:
- 10.1215/0023608X-2010-015
-
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- 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:
- Copyright holder:
- Kyoto University
- Copyright date:
- 2008
- Notes:
- Copyright © 2010 Kyoto University.
Journal article
Selmer varieties for curves with CM Jacobians
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