Measured foliations and Hilbert 12th problem
Number Theory
2023-06-19 v9 Operator Algebras
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.
Cite
@article{arxiv.0804.0057,
title = {Measured foliations and Hilbert 12th problem},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:0804.0057},
year = {2023}
}
Comments
to appear Acta Mathematica Vietnamica