A Program For Geometric Arithmetic

2001/11/22 by Lin Weng, Weng, Lin
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematics and Applications #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.48550/arxiv.math/0111241

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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

Proposed is a program for what we call Geometric Arithmetic, based on our works on non-abelian zeta functions and non-abelian class field theory. Key words are stability and adelic intersection-cohomology theory.

Citations

• Vector Bundles Over an Elliptic Curve
• Convolution structures and arithmetic cohomology

Related

• Riemann-Roch, Stability and New Non-Abelian Zeta Functions for Number Fields
• Stability and Arithmetic
• Geometry of Numbers
• Arithmetic and Geometric Langlands Program
• Geometry of the arithmetic site