Arakelov invariants of Riemann surfaces
Number Theory
2012-03-28 v2 Algebraic Geometry
Abstract
We derive explicit formulas for the Arakelov-Green function and the Faltings delta-invariant of a Riemann surface. A numerical example illustrates how these formulas can be used to calculate Arakelov invariants of curves.
Keywords
Cite
@article{arxiv.math/0312357,
title = {Arakelov invariants of Riemann surfaces},
author = {Robin de Jong},
journal= {arXiv preprint arXiv:math/0312357},
year = {2012}
}
Comments
16 pages; 2nd version. Same main results as in 1st version, but with a numerical example added. Section 8 of 1st version is now incorporated in new article ``Faltings' delta-invariant of a hyperelliptic Riemann surface''