Arithmetic over trivially valued field and its applications
Algebraic Geometry
2020-09-21 v1
Abstract
By some result on the study of arithemtic over trivially valued field, we find its applications to Arakelov geometry over adelic curves. We prove a partial result of the continuity of arithmetic -volume along semiample divisors. Moreover, we give a upper bound estimate of arithmetic Hilbert-Samuel function.
Cite
@article{arxiv.2009.08663,
title = {Arithmetic over trivially valued field and its applications},
author = {Wenbin Luo},
journal= {arXiv preprint arXiv:2009.08663},
year = {2020}
}