- Experiment. Math.
- Volume 9, Issue 2 (2000), 251-260.
Stark's conjectures and Hilbert's twelfth problem
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.
Experiment. Math., Volume 9, Issue 2 (2000), 251-260.
First available in Project Euclid: 22 February 2003
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Roblot, Xavier-François. Stark's conjectures and Hilbert's twelfth problem. Experiment. Math. 9 (2000), no. 2, 251--260. https://projecteuclid.org/euclid.em/1045952349