Selmer varieties for curves with CM Jacobians
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SCOPUS
- Title
- Selmer varieties for curves with CM Jacobians
- Authors
- Coates, J; Kim, M
- Date Issued
- 2010-12
- Publisher
- Duke University Press
- Abstract
- We study the Selmer variety associated to a canonical quotient of the Q(p)-prounipotent 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 multivariable Iwasawa theory is used to prove bounds for the dimension of the Selmer variety, which, in turn, leads to a new proof of finiteness of rational points on such curves.
- Keywords
- UNIPOTENT ALBANESE MAP; GALOIS-GROUPS; COMPLETION; CONJECTURE; FIELDS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/17596
- DOI
- 10.1215/0023608X-2010-015
- ISSN
- 2156-2261
- Article Type
- Article
- Citation
- KYOTO JOURNAL OF MATHEMATICS, vol. 50, no. 4, page. 827 - 852, 2010-12
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