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arXiv · 0804.0057

Measured foliations and Hilbert 12th problem

Igor Nikolaev
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Abstract

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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Igor Nikolaev. 2008-04-01. Measured foliations and Hilbert 12th problem. https://doi.org/10.1007/s40306-022-00479-w

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