Arithmetic curves on ball quotient surface

DOI10.1007/BF02330006zbMath0542.14027MaRDI QIDQ795126

Rolf-Peter Holzapfel

Publication date: 1983

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

automorphic formsmonodromy groupPicard modular surfacesfilled singularity resolutionintegrals on Riemann surfacesrational discsselfintersection number of an arithmetic curve

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Special algebraic curves and curves of low genus (14H45) Structure of modular groups and generalizations; arithmetic groups (11F06) Special surfaces (14J25) Fine and coarse moduli spaces (14D22)

Related Items (2)

Basic two-dimensional versions of Hurwitz genus formula ⋮ Infinitesimal deformations of complex surfaces with boundary

Cites Work

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• On purely transcendental fields of automorphic functions of several variables
• Compactification of arithmetic quotients of bounded symmetric domains
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• Rationale Singularitäten komplexer Flächen
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• Symmetry Points and Chern Invariants of Picard Modular Surfaces
• A Class of Minimal Surfaces in the Unknown Region of Surface Geography
• Invariants of Arithmetic Ball Quotient Surfaces
• Calabi's conjecture and some new results in algebraic geometry
• Invariants of Finite Groups Generated by Reflections
• On the Chern numbers of surfaces of general type

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