2009/11/16 by Atsushi Moriwaki, Moriwaki, Atsushi
Mathematics · #11G50 #14G40 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.AG #math.NT #msc:11G50 #msc:14G40
paper · pdf · doi:10.48550/arxiv.0911.2951
81 pages. Rewrite several parts
openalex publication_date 2009/11/16 · arxiv created 2011/01/25 · arxiv updated 2011/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we establish the Zariski decompositions of arithmetic R-divisors of continuous type on arithmetic surfaces and investigate several properties. We also develop the general theory of arithmetic R-divisors on arithmetic varieties.