Arakelov invariants of Riemann surfaces
classification
🧮 math.NT
math.AG
keywords
arakelovformulasinvariantsriemannarakelov-greencalculatecurvesdelta-invariant
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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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