On modified circular units and annihilation of real classes

Details On modified circular units and annihilation of real classes On modified circular units and annihilation of real classes

2009-12-12

arxiv.org/abs/0912.2451v1

Nagoya Mathematical Journal 177 (2005) 77--115

Mathematics

Number Theory

Scientific paper

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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