On the Rubin-Stark conjecture for a special class of CM extensions of totally real number fields. (Q1762707)
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scientific article; zbMATH DE number 2133493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Rubin-Stark conjecture for a special class of CM extensions of totally real number fields. |
scientific article; zbMATH DE number 2133493 |
Statements
On the Rubin-Stark conjecture for a special class of CM extensions of totally real number fields. (English)
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11 February 2005
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The author proves Rubin's integral version of Stark's conjecture, up to a power of \(2\), for an infinite class of CM extensions of totally real number fields, called by Greither ``nice extensions'', under the assumption that a certain Iwasawa \(\mu\)-invariant vanishes. By restricting this result to \(L\)-functions of order of vanishing \(1\) at \(s=0\), he proves that the Brumer-Stark conjecture is true, up to a power of \(2\), for ``nice extensions'', under the same assumption.
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Rubin's conjecture
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Stark's conjecture
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Brumer-Stark conjecture
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CM extensions
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