On modified circular units and annihilation of real classes
Jean-Robert Belliard and Thong Nguyen-Quang-Đo
Source: Nagoya Math. J. Volume 177
(2005), 77-115.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1114632159
Mathematical Reviews number (MathSciNet): MR2124548
Zentralblatt MATH identifier: 02166190
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