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2000 Stark's conjectures and Hilbert's twelfth problem
Xavier-François Roblot
Experiment. Math. 9(2): 251-260 (2000).

Abstract

We give a constructive proof of a theorem of Tate, which states that (under Stark's Conjecture) the field generated over a totally real field K by the Stark units contains the maximal real abelian extension of K. As a direct application of this proof, we show how one can compute explicitly real abelian extensions of K. We give two examples.

Citation

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Xavier-François Roblot. "Stark's conjectures and Hilbert's twelfth problem." Experiment. Math. 9 (2) 251 - 260, 2000.

Information

Published: 2000
First available in Project Euclid: 22 February 2003

zbMATH: 0986.11074
MathSciNet: MR1780210

Subjects:
Primary: 11R42
Secondary: 11R20 , 11R37

Rights: Copyright © 2000 A K Peters, Ltd.

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Vol.9 • No. 2 • 2000
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