Arithmetic linear series with base conditions

2011/01/28 by Atsushi Moriwaki, Moriwaki, Atsushi
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #Polynomial and algebraic computation #math.AG #msc:11G50 #msc:14G40

paper · pdf · doi:10.48550/arxiv.1101.5462

19 pages

arxiv created 2011/12/27 · arxiv updated 2011/12/30

Abstract

In this note, we study the volume of arithmetic linear series with base conditions. As an application, we consider the problem of Zariski decompositions on arithmetic varieties.

Related

• Adelic divisors on arithmetic varieties
• Zariski decompositions on arithmetic surfaces
• Effective Bounds of Linear Series on Algebraic Varieties and Arithmetic Varieties
• Remarks on the arithmetic restricted volumes and the arithmetic base loci
• Continuous extension of arithmetic volumes