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arXiv · 2306.06416

Drinfeld modules as noncommutative tori

Igor V. Nikolaev
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Abstract

The Drinfeld module is a tool of the explicit class field theory for the function fields. We first observe a similarity of such modules with the noncommutative tori, and then use it to develop an explicit class field theory for the number fields. The case of the imaginary quadratic number fields is treated in detail.

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Igor V. Nikolaev. 2023-06-10. Drinfeld modules as noncommutative tori. https://arxiv.org/abs/2306.06416

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