Arithmetic Fujita approximation over adelic curves

2024/01/27 by Chunhui Liu, Liu, Chunhui
Mathematics · #Algebraic Geometry (math.AG) #Applied mathematics #Arithmetic #FOS: Mathematics #Fujita scale #Mathematical Dynamics and Fractals #Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2401.15271

openalex publication_date 2024/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will prove an analogue of Fujita's approximation theorem under the framework of Arakelov theory over adelic curves, which proves a conjecture of Huayi Chen and Atsushi Moriwaki.

Related

• Arithmetic Fujita approximation
• Arakelov geometry over adelic curves
• Topological adelic curves: Zariski-Riemann spaces, algebraic coverings, Harder-Narsimhan filtrations and heights
• Arithmetic over trivially valued field and its applications
• Arithmetic intersection theory over adelic curves