On the Gras Conjecture for Imaginary Quadratic Fields
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 148-160
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In this paper we extend K. Rubin's methods to prove the Gras conjecture for abelian extensions of a given imaginary quadratic field $k$ and prime numbers $p$ that divide the number of roots of unity in $k$ .
Mots-clés :
11R27, 11R29, 11G16, elliptic units, Stark units, Gras conjecture, Euler systems
Oukhaba, Hassan; Viguié, Stéphane. On the Gras Conjecture for Imaginary Quadratic Fields. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 148-160. doi: 10.4153/CMB-2011-173-1
@article{10_4153_CMB_2011_173_1,
author = {Oukhaba, Hassan and Vigui\'e, St\'ephane},
title = {On the {Gras} {Conjecture} for {Imaginary} {Quadratic} {Fields}},
journal = {Canadian mathematical bulletin},
pages = {148--160},
year = {2013},
volume = {56},
number = {1},
doi = {10.4153/CMB-2011-173-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-173-1/}
}
TY - JOUR AU - Oukhaba, Hassan AU - Viguié, Stéphane TI - On the Gras Conjecture for Imaginary Quadratic Fields JO - Canadian mathematical bulletin PY - 2013 SP - 148 EP - 160 VL - 56 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-173-1/ DO - 10.4153/CMB-2011-173-1 ID - 10_4153_CMB_2011_173_1 ER -
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