Arakelov theory on arithmetic surfaces over a trivially valued field
Algebraic Geometry
2020-02-11 v1 Number Theory
Abstract
In this article, we consider an analogue of Arakelov theory of arithmetic surfaces over a trivially valued field. In particular, we establish an arithmetic Hilbert-Samuel theorem and studies the effectivity up to R-linear equivalence of pseudoeffective metrised R-divisors.
Cite
@article{arxiv.2002.03926,
title = {Arakelov theory on arithmetic surfaces over a trivially valued field},
author = {Huayi Chen and Atsushi Moriwaki},
journal= {arXiv preprint arXiv:2002.03926},
year = {2020}
}