| Autor: |
Belliard, Jean-Robert, Do, Thong Nguyen Quang |
| Rok vydání: |
2009 |
| Předmět: |
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| Zdroj: |
Nagoya Mathematical Journal 177 (2005) 77--115 |
| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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