Riemann-Roch, Stability and New Non-Abelian Zeta Functions for Number Fields

2000/07/25 by Lin Weng, Lin WENG, WENG, Lin
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0007146

Version 2

openalex publication_date 2000/07/25 · arxiv created 2002/04/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a geometrically stylized arithmetic cohomology for number fields. Based on such a cohomology, we define and study new yet genuine non-abelian zeta functions for number fields, using an intersection stability.

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