Spiegelungssatz: a combinatorial proof for the 4-rank
Résumé
The Spiegelungssatz is an inequality between the \(4\)-ranks of the narrow ideal class groups of the quadratic fields \(\mathbb{Q}(\sqrt{D})\) and \(\mathbb{Q}(\sqrt{-D})\). We provide a combinatorial proof of this inequality. Our interpretation gives an affine system of equations that allows to describe precisely some equality cases.
Origine : Fichiers produits par l'(les) auteur(s)
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