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Article Dans Une Revue Nagoya Mathematical Journal Année : 2005

On modified circular units and annihilation of real classes

Résumé

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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Dates et versions

hal-00440870 , version 1 (12-12-2009)

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Jean-Robert Belliard, Thong Nguyen Quang Do. On modified circular units and annihilation of real classes. Nagoya Mathematical Journal, 2005, 177, pp.77--115. ⟨hal-00440870⟩
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