Arithmetic linear series with base conditions
Atsushi Moriwaki
TL;DR
This paper investigates the volume of arithmetic linear series with base conditions and explores Zariski decompositions on arithmetic varieties, providing new insights into their structure and properties.
Contribution
It introduces new methods for analyzing the volume of arithmetic linear series with base conditions and applies these to Zariski decompositions on arithmetic varieties.
Findings
Established bounds for the volume of arithmetic linear series with base conditions.
Provided a framework for Zariski decompositions on arithmetic varieties.
Connected volume computations with geometric decompositions.
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Meromorphic and Entire Functions · Polynomial and algebraic computation