Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields

Hsieh, Ming-Lun

doi:10.1090/S0894-0347-2014-00786-4

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.

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