A Height Inequality
Algebraic Geometry
2015-08-10 v4 Number Theory
Abstract
We give a mathematical structure on an arithmetic surface, that has algebraic meanings over finite places and can estimate the canonical norm for a relative differential form on the arithmetic surface. This will give a lower bound for the canonical norm for a relative differential form on an arithmetic surface, which proves a Height Inequality on the arithmetic surface.
Cite
@article{arxiv.0901.3042,
title = {A Height Inequality},
author = {Yuhan Zha},
journal= {arXiv preprint arXiv:0901.3042},
year = {2015}
}
Comments
This is a revision of the previous version. A mistake is found in the previous version. Total 29 pages