Stark's Conjectures and Hilbert's Twelfth Problem
Roblot, Xavier-François
HAL, hal-00863014 / Harvested from HAL
Text on HAL
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.
Publié le : 1999-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00863014,
     author = {Roblot, Xavier-Fran\c cois},
     title = {Stark's Conjectures and Hilbert's Twelfth Problem},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00863014}
}

Roblot, Xavier-François. Stark's Conjectures and Hilbert's Twelfth Problem. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00863014/