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Monogénéité de l'anneau des entiers de certains corps de classes de rayon

Vincent Fleckinger — 1988

Annales de l'institut Fourier

Soient k une extension quadratique imaginaire de Q et A son anneau des entiers. Lorsque 3 est décomposé dans k , nous démontrons que les anneaux d’entiers de certains corps de classe de rayon de k sont monogènes sur l’anneau des entiers du corps de classes de rayon 3. Des générateurs de “monogénéite” sont obtenus a l’aide de fonctions elliptiques qui paramétrisent un modèle de Deuring de la courbe elliptique associée au réseau A .

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