Einstein-Kähler metrics on open algebraic surfaces of general type

DOI10.2748/tmj/1178228722zbMath0582.53046OpenAlexW2103781270WikidataQ125590059 ScholiaQ125590059MaRDI QIDQ1068370

Ryoichi Kobayashi

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228722

zbMATH Keywords

Chern classalgebraic surfaceGaussian curvatureKähler metriclogarithmic canonical modelV-metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex manifolds (32Q99)

Related Items (18)

Complete negatively pinched Kähler surfaces of finite volume ⋮ A characterization of ball quotients with smooth boundary ⋮ The Oort conjecture on Shimura curves in the Torelli locus of hyperelliptic curves ⋮ Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps ⋮ Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023 ⋮ Kähler-Einstein metrics near an isolated log-canonical singularity ⋮ A numerical characterization of ball quotients for normal surfaces with branch loci ⋮ Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices ⋮ The Oort conjecture on Shimura curves in the Torelli locus of curves ⋮ Arrangements of rational sections over curves and the varieties they define ⋮ Arrangements of curves and algebraic surfaces ⋮ Boundary behavior of Kähler-Einstein metric of negative Ricci curvature over quasi-projective manifolds with boundary of general type ⋮ Resolutions of surfaces with big cotangent bundle and $A_2$ singularities ⋮ The Fano surface of the Fermat cubic threefold, the del Pezzo surface of degree $5$ and a ball quotient ⋮ An equality of Chern numbers for open algebraic varieties ⋮ On the construction of a complete Kähler-Einstein metric with negative scalar curvature near an isolated log-canonical singularity ⋮ A characterization of complex quasi-projective manifolds uniformized by unit balls ⋮ Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization

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