A characterization of ball quotients with smooth boundary

DOI10.1215/S0012-7094-88-05724-9zbMath0671.14002MaRDI QIDQ1119701

Hajime Tsuji

Publication date: 1988

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

zbMATH Keywords

Kähler-Einstein metricthe unit ballChern class inequalitysmooth divisortoroidal compactification of an unramified arithmetic quotient oftoroidal compactification of an unramified arithmetic quotient of the unit ball

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Characteristic classes and numbers in differential topology (57R20) Divisors, linear systems, invertible sheaves (14C20) Homogeneous complex manifolds (32M10)

Related Items (8)

Hyperbolicity of moduli spaces of log-canonically polarized manifolds ⋮ Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds ⋮ Kähler-Einstein metrics and obstruction flatness of circle bundles ⋮ Kähler-Einstein metrics on stable varieties and log canonical pairs ⋮ The limits on boundary of orbifold Kähler-Einstein metrics and Kähler-Ricci flows over quasi-projective manifolds ⋮ Boundary behavior of Kähler-Einstein metric of negative Ricci curvature over quasi-projective manifolds with boundary of general type ⋮ A characterization of complex quasi-projective manifolds uniformized by unit balls ⋮ Special subvarieties of non-arithmetic ball quotients and Hodge theory

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