Continuous Extension and Birational Invariance of χ-Volume Over an Adelic Curve

2023/03/02 by Wenbin Luo, Luo, Wenbin
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2303.01604

openalex publication_date 2023/03/02 · openalex created_date 2023/03/07 · openalex updated_date 2026/07/28

Abstract

By giving an estimate on the minimal slopes, we prove a Hilbert-Samuel formula for semiample and semipositive adelic line bundles. We also show the birational invariance of the arithmetic χ-volume and its continuous extension on the semiample cone.

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