Measured foliations and Hilbert 12th problem

Igor Nikolaev
Arxiv ID: 0804.0057Last updated: 6/13/2022
Yu. I. Manin conjectured that the maximal abelian extensions of the real quadratic number fields are generated by the pseudo-lattices with real multiplication. We prove this conjecture using theory of measured foliations on the modular curves.

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