Measured foliations and Hilbert 12th problem
arXiv:0804.0057 · doi:10.1007/s40306-022-00479-w
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.
to appear Acta Mathematica Vietnamica