A minimal volume arithmetic cusped complex hyperbolic orbifold

DOI10.1017/S0305004110000526zbMath1254.32040OpenAlexW1966598823MaRDI QIDQ3081474

Tie-Hong Zhao

Publication date: 8 March 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004110000526

zbMATH Keywords

fundamental domainEisenstein-Picard modular grouphyperbolic \(2\)-orbifold

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (4)

Generators for the Euclidean Picard modular groups ⋮ Generators of the sister of Euclidean Picard modular groups ⋮ A presentation for the Eisenstein-Picard modular group in three complex dimensions ⋮ Rigid surfaces arbitrarily close to the Bogomolov--Miyaoka--Yau line

Cites Work

• Unnamed Item
• On a remarkable class of polyhedra in complex hyperbolic space
• On the volumes of cusped, complex hyperbolic manifolds and orbifolds
• New constructions of fundamental polyhedra in complex hyperbolic space
• Cone metrics on the sphere and Livné's lattices
• The geometry of the Eisenstein-Picard modular group
• A Class of Minimal Surfaces in the Unknown Region of Surface Geography
• The Geometries of 3-Manifolds

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