Pour certains corps imaginaires abéliens, on trouve des annulateurs pour la partie moins du groupe des classes en dehors de l’idéal de Stickelberger. En fonction du cadre précis, on emploie des méthodes différentes. Les résultats théoriques sont accompagnés de calculs numériques, ayant trait à quelques cas extrêmes.
For certain imaginary abelian fields we find annihilators of the minus part of the class group outside the Stickelberger ideal. Depending on the exact situation, we use different techniques to do this. Our theoretical results are complemented by numerical calculations concerning borderline cases.
@article{AIF_2007__57_5_1623_0, author = {Greither, Cornelius and Ku\v cera, Radan}, title = {Annihilators of minus class groups of imaginary abelian fields}, journal = {Annales de l'Institut Fourier}, volume = {57}, year = {2007}, pages = {1623-1653}, doi = {10.5802/aif.2309}, zbl = {1128.11050}, mrnumber = {2364145}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_2007__57_5_1623_0} }
Greither, Cornelius; Kučera, Radan. Annihilators of minus class groups of imaginary abelian fields. Annales de l'Institut Fourier, Tome 57 (2007) pp. 1623-1653. doi : 10.5802/aif.2309. http://gdmltest.u-ga.fr/item/AIF_2007__57_5_1623_0/
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