Stark's conjectures and Hilbert's twelfth problem
Roblot, Xavier-François
Experiment. Math., Tome 9 (2000) no. 3, p. 251-260 / Harvested from Project Euclid
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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.
Publié le : 2000-05-14
Classification:  11R42,  11R20,  11R37 
@article{1045952349,
     author = {Roblot, Xavier-Fran\c cois},
     title = {Stark's conjectures and Hilbert's twelfth problem},
     journal = {Experiment. Math.},
     volume = {9},
     number = {3},
     year = {2000},
     pages = { 251-260},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1045952349}
}

Roblot, Xavier-François. Stark's conjectures and Hilbert's twelfth problem. Experiment. Math., Tome 9 (2000) no. 3, pp.  251-260. http://gdmltest.u-ga.fr/item/1045952349/