Green's functions on Mumford curves

DOI10.1007/s00208-017-1560-0zbMath1401.11106OpenAlexW2720112523MaRDI QIDQ1709777

Fu-Tsun Wei

Publication date: 6 April 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-017-1560-0

zbMATH Keywords

Green's functionMumford curvesBruhat-Tits treesKronecker limit formula

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Modular forms associated to Drinfel'd modules (11F52) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Riemann surfaces; Weierstrass points; gap sequences (14H55) Potential theory on Riemannian manifolds and other spaces (31C12)

Cites Work

• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Green's functions for Drinfeld modular curves
• Schottky groups and Mumford curves
• The space of p-adic norms
• Quasi-functions and heights on abelian varieties
• Local heights on Mumford curves
• Graph Laplacians, component groups and Drinfeld modular curves
• The capacity pairing.
• A P-Adic Analogue of the Gauss-Bonnet Theorem for Certain Mumford Curves
• Jacobians of Drinfeld modular curves.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item