Arakelov invariants of Riemann surfaces

Details Arakelov invariants of Riemann surfaces Arakelov invariants of Riemann surfaces

2003-12-18

arxiv.org/abs/math/0312357v2

Doc. Math. 10 (2005), 311--329

Mathematics

Number Theory

16 pages; 2nd version. Same main results as in 1st version, but with a numerical example added. Section 8 of 1st version is no

Scientific paper

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.

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