Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Research in the Mathematical Sciences

DOI: 10.1007/s40687-025-00515-9

Authors: L. Demangos, T. M. Gendron

Institutions: Xi’an Jiaotong-Liverpool University, Universidad Nacional Autónoma de México

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,090

OpenAlex ID: W4409916171