On the volumes of cusped, complex hyperbolic manifolds and orbifolds

DOI10.1215/S0012-7094-98-09418-2zbMath0951.32019MaRDI QIDQ1974853

John R. Parker

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

orbifoldscomplex hyperbolic manifoldscusped complex hyperbolic 2-manifoldsmallest volume

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

ON THE VOLUMES OF COMPLEX HYPERBOLIC MANIFOLDS WITH CUSPS ⋮ Generators of the sister of Euclidean Picard modular groups ⋮ Foliations associated to harmonic maps on some complex two ball quotients ⋮ A presentation for the Eisenstein-Picard modular group in three complex dimensions ⋮ A sharp cusp count for complex hyperbolic surfaces and related results ⋮ The geometry of the Gauss-Picard modular group ⋮ Lower bound for the volumes of quaternionic hyperbolic orbifolds ⋮ The Kodaira dimension of complex hyperbolic manifolds with cusps ⋮ Hurwitz ball quotients ⋮ New nonarithmetic complex hyperbolic lattices. II ⋮ Symmetric differentials on complex hyperbolic manifolds with cusps ⋮ Counting and equidistribution in Heisenberg groups ⋮ Balls in complex hyperbolic manifolds ⋮ Effective results for complex hyperbolic manifolds ⋮ Maximal radius of quaternionic hyperbolic manifolds ⋮ A lower bound for the volumes of complex hyperbolic orbifolds ⋮ The geometry of the Eisenstein-Picard modular group ⋮ On volumes of complex hyperbolic orbifolds ⋮ On effective existence of symmetric differentials of complex hyperbolic space forms ⋮ A minimal volume arithmetic cusped complex hyperbolic orbifold ⋮ On the volumes of complex hyperbolic manifolds ⋮ Volumes of Picard modular surfaces ⋮ Commuting isometries of the complex hyperbolic space ⋮ Cusp and b_1 growth for ball quotients and maps onto Z with finitely generated kernel

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