Arakelov invariants of Riemann surfaces
arXiv:math/0312357
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.
arXiv comment16 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''