Sufficient conditions for the dirichlet property
Algebraic Geometry
2017-04-06 v1 Number Theory
Abstract
The effectivity up to R-linear equivalence (Dirichlet property) of pseudoeffective adelic R-Cartier divisors is a subtle problem in arithmetic geometry. In this article, we propose sufficient conditions for the Dirichlet property by using the dynamic system in the classic Arakelov geometry setting. We also give a numerical criterion of the Dirichlet property for adelic R-Cartier divisors on curves over a trivially valued field.
Keywords
Cite
@article{arxiv.1704.01410,
title = {Sufficient conditions for the dirichlet property},
author = {Huayi Chen and Atsushi Moriwaki},
journal= {arXiv preprint arXiv:1704.01410},
year = {2017}
}