On the global determinant method
Number Theory
2022-05-24 v2 Algebraic Geometry
Abstract
In this paper, we build the global determinant method of Salberger by Arakelov geometry explicitly. As an application, we study the dependence on the degree of the number of rational points of bounded height in plane curves. We will also explain why some constants will be more explicit if we admit the Generalized Riemann Hypothesis.
Cite
@article{arxiv.2101.07453,
title = {On the global determinant method},
author = {Chunhui Liu},
journal= {arXiv preprint arXiv:2101.07453},
year = {2022}
}
Comments
39 pages. arXiv admin note: text overlap with arXiv:1910.00306