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arXiv · 0912.2451

On modified circular units and annihilation of real classes

Jean-Robert Belliard·Thong Nguyen Quang Do
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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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Jean-Robert Belliard, Thong Nguyen Quang Do. 2009-12-12. On modified circular units and annihilation of real classes. https://arxiv.org/abs/0912.2451

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