Measured Foliations and Hilbert 12th Problem

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2022-06-09 DOI:10.1007/s40306-022-00479-w

Igor V. Nikolaev

引用次数: 0

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.

查看原文本刊更多论文

测叶与Hilbert第12问题

余。I.Manin猜想实二次数域的极大阿贝尔扩展是由实乘的伪格生成的。我们用模曲线上的实测叶理理论证明了这一猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.