Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields
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- by Ming-Lun Hsieh
- J. Amer. Math. Soc. 27 (2014), 753-862
- DOI: https://doi.org/10.1090/S0894-0347-2014-00786-4
- Published electronically: March 5, 2014
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Abstract:
The purpose of this article is to prove the Iwasawa main conjecture for CM fields in certain cases through a detailed study on the divisibility relation between $p$-adic $L$-functions for CM fields and Eisenstein ideals of unitary groups of degree three.References
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Bibliographic Information
- Ming-Lun Hsieh
- Affiliation: Department of Mathematics, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan
- Email: mlhsieh@math.ntu.edu.tw
- Received by editor(s): June 18, 2012
- Received by editor(s) in revised form: April 17, 2013
- Published electronically: March 5, 2014
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: J. Amer. Math. Soc. 27 (2014), 753-862
- MSC (2010): Primary 11R23, 11F70; Secondary 11F33
- DOI: https://doi.org/10.1090/S0894-0347-2014-00786-4
- MathSciNet review: 3194494