Documenta Mathematica · 2005 · 30 citations · 9 references
Natural SciencesMathematicsPhysicsGeometryTheoretical PhysicsTopologyAnalytic GeometryGreen's FunctionsInvariant TheoryArakelov GeometryFaltings' TheoremGreen's Function FormulationInvariantsRiemann - Hilbert ProblemsRiemann Surfaces
We derive closed formulas for the Arakelov-Green function and the Faltings delta-invariant of a compact Riemann surface.
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Algebraic geometry and arithmetic curves
Choice Reviews Online · 2003 · 595 citations
Calculus on Arithmetic Surfaces
Annals of Mathematics · 1984 · 377 citations
An arithmetic Riemann-Roch theorem
Henri Gillet, Christophe Soul� · Inventiones mathematicae · 1992 · 222 citations
FAMILIES OF ALGEBRAIC CURVES WITH FIXED DEGENERACIES
S J Arakelov · Mathematics of the USSR-Izvestiya · 1971 · 170 citations