2021/01/19 by Chunhui Liu, Liu, Chunhui
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems
paper · pdf · doi:10.48550/arxiv.2101.07453
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.