Drinfeld modules as noncommutative tori

2023/06/10 by Igor Nikolaev, Nikolaev, Igor V.
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2306.06416

openalex publication_date 2023/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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