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arXiv · 2309.05779

Non-abelian class field theory and higher dimensional noncommutative tori

Igor V. Nikolaev
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Abstract

We study a relation between the Drinfeld modules and the even dimensional noncommutative tori. A non-abelian class field theory is developed based on this relation. Explicit generators of the Galois extensions are constructed.

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Igor V. Nikolaev. 2023-09-11. Non-abelian class field theory and higher dimensional noncommutative tori. https://doi.org/10.1007/s10468-025-10350-9

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