On the number of ends of rank one locally symmetric spaces

DOI10.2140/gt.2013.17.905zbMath1348.11038arXiv1112.4495OpenAlexW3104042114MaRDI QIDQ1954322

Matthew Stover

Publication date: 11 June 2013

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4495

zbMATH Keywords

locally symmetric spacescuspsarithmetic latticesrank one geometry

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50)

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Cites Work

• Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
• Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups
• Cusps of minimal non-compact arithmetic hyperbolic 3-orbifolds
• A dimension formula for a certain space of automorphic forms of SU(p,1). II: The case of \(\Gamma\) (N) with N\(\geq 3\)
• Non-arithmetic groups in Lobachevsky spaces
• Archimedean superrigidity and hyperbolic geometry
• Reflection groups on the octave hyperbolic plane
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• The cusped hyperbolic orbifolds of minimal volume in dimensions less than ten
• Cusps of Picard modular surfaces
• Some finiteness properties of adele groups over number fields
• On volumes of arithmetic quotients of PO (n , 1)^° , n odd
• One‐class genera of positive quadratic forms in nine and ten variables
• One-class spinor genera of positive quadratic forms
• The Class-Number of a Positive Quadratic Form
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