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Non-abelian class field theory and higher dimensional noncommutative tori

Published 11 Sep 2023 in math.NT and math.OA | (2309.05779v1)

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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