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2005 On modified circular units and annihilation of real classes
Jean-Robert Belliard, Thong Nguyen-Quang-Đo
Nagoya Math. J. 177: 77-115 (2005).

Abstract

For an abelian totally real number field $F$ and an odd prime number $p$ which splits totally in $F$, we present a functorial approach to special "$p$-units" previously built by D. Solomon using "wild" Euler systems. This allows us to prove a conjecture of Solomon on the annihilation of the $p$-class group of $F$ (in the particular context here), as well as related annihilation results and index formulae.

Citation

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Jean-Robert Belliard. Thong Nguyen-Quang-Đo. "On modified circular units and annihilation of real classes." Nagoya Math. J. 177 77 - 115, 2005.

Information

Published: 2005
First available in Project Euclid: 27 April 2005

zbMATH: 1092.11043
MathSciNet: MR2124548

Subjects:
Primary: 11R18 , 11R20 , 11R23

Rights: Copyright © 2005 Editorial Board, Nagoya Mathematical Journal

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Vol.177 • 2005
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