Non-Abelian Class Field Theory for Riemann Surfaces

2001/11/22 by Lin Weng, Weng, Lin
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Modeling in Engineering #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0111240

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arxiv created 2001/11/22 · openalex publication_date 2001/11/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, using what we call a micro reciprocity law, we complete Weil's program for non-abelian class field theory of Riemann surfaces.

Related

• Notes on abelian class field theory
• Geometric Class Field Theory
• Relative K-theory and class field theory for arithmetic surfaces
• A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry
• Algebra of Noncommutative Riemann Surfaces