A generalized Mazur’s theorem and its applications
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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.References
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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
- 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.
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 362 (2010), 4433-4450
- MSC (2010): Primary 11R23, 11S25
- DOI: https://doi.org/10.1090/S0002-9947-10-05042-7
- MathSciNet review: 2608412