Arakelov geometry on degenerating curves

DOI10.1515/crelle-2020-0015zbMath1489.14036OpenAlexW3071077803MaRDI QIDQ2121377

Gerd Faltings

Publication date: 4 April 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2020-0015

zbMATH Keywords

Arakelov metricsemistable degenerationArakelov Green's functionFaltings' delta invariant

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Potential theory on Riemannian manifolds and other spaces (31C12) Deformations of analytic structures (32G99)

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Cites Work

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• Admissible pairing on a curve
• Calculus on arithmetic surfaces
• Faltings delta-invariant and semistable degeneration
• Asymptotic behavior of Faltings's delta function
• The asymptotics of the Arakelov-Green's function and Faltings' delta invariant