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<p>This is the second in a series of two papers presenting a solution to Hilbert’s 12th problem for real quadratic function fields in positive characteristic, in the sense of proving an analog of the Theorem of Weber-Fueter. We also offer a conjectural treatment of the number field case using quasicrystal counterparts (Gendron et al. in Théorie Quasi-cristalline des Nombres: Recherche d’une Théorie de Drinfeld-Hayes en Caractéristique Zéro. <a href="http://arxiv.org/abs/1912.12323">arXiv: 1912.12323</a>) of the constructions used in function fields.</p>

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Quantum Drinfeld modules and ray class fields of real quadratic global function fields

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  • 发表日期：

    2025年4月29日

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  • L. Demangos,
  • T. M. Gendron

摘要

This is the second in a series of two papers presenting a solution to Hilbert’s 12th problem for real quadratic function fields in positive characteristic, in the sense of proving an analog of the Theorem of Weber-Fueter. We also offer a conjectural treatment of the number field case using quasicrystal counterparts (Gendron et al. in Théorie Quasi-cristalline des Nombres: Recherche d’une Théorie de Drinfeld-Hayes en Caractéristique Zéro. arXiv: 1912.12323) of the constructions used in function fields.