Convergence of Harder-Narasimhan polygons

2007/06/18 by Huayi Chen, Chen, Huayi
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.0706.2649

arxiv created 2007/06/18 · openalex publication_date 2007/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish in this article convergence results of normalized Harder-Narasimhan polygons both in geometric and in arithmetic frameworks by introducing the Harder-Narasimhan filtration indexed by \mathbb R and the associated Borel probability measure.

Citations

• An arithmetic Riemann-Roch theorem
• Vector Bundles Over an Elliptic Curve
• Harder-Narasimhan categories

Related

• Harder-Narasimhan polygons and Laws of Large Numbers
• Positive degree and arithmetic bigness
• Harder-Narasimhan categories
• Formalization of Harder-Narasimhan theory
• Rates of convergence for extremes of geometric random variables and marked point processes