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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A generalized Mazur's theorem and its applications


Author: Ki-Seng Tan
Journal: Trans. Amer. Math. Soc. 362 (2010), 4433-4450
MSC (2010): Primary 11R23, 11S25
Published electronically: March 17, 2010
MathSciNet review: 2608412
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Abstract: We generalize a theorem of Mazur concerning the universal norms of an abelian variety over a $ \mathbb{Z}_p^d$-extension of a complete local field. Then we apply it to the proof of a control theorem for abelian varieties over global function fields.


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Additional Information

Ki-Seng Tan
Affiliation: Department of Mathematics, National Taiwan University, Taipei 10764, Taiwan
Email: tan@math.ntu.edu.tw

DOI: http://dx.doi.org/10.1090/S0002-9947-10-05042-7
PII: S 0002-9947(10)05042-7
Received by editor(s): December 4, 2008
Received by editor(s) in revised form: March 6, 2009
Published electronically: March 17, 2010
Additional Notes: This research was supported in part by the National Science Council of Taiwan, NSC95-2115-M-002-017-MY2.
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.