Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor

DOI10.5802/aif.2881zbMath1310.32024arXiv1201.0952OpenAlexW2963126459MaRDI QIDQ486797

Henri Guenancia

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0952

zbMATH Keywords

Kähler-Einstein metricscone singularities, Poincaré metric, complex Monge-Ampère equation

Mathematics Subject Classification ID

Kähler-Einstein manifolds (32Q20) Compact Kähler manifolds: generalizations, classification (32J27) Complex Monge-Ampère operators (32W20)

Related Items (13)

On the stability of extensions of tangent sheaves on Kähler-Einstein Fano/Calabi-Yau pairs ⋮ On the boundary behavior of Kähler-Einstein metrics on log canonical pairs ⋮ The Kähler-Ricci flow on log canonical pairs of general type ⋮ On the collapsing of Calabi-Yau manifolds and Kähler-Ricci flows ⋮ Families of singular Kähler-Einstein metrics ⋮ Curvature formula for direct images of twisted relative canonical bundles endowed with a singular metric ⋮ Kähler-Einstein metrics on stable varieties and log canonical pairs ⋮ Variation of singular Kähler-Einstein metrics: positive Kodaira dimension ⋮ Kähler-Ricci flow of cusp singularities on quasi projective varieties ⋮ The continuity equation with cusp singularities ⋮ Geodesics in the space of singular Kähler potentials ⋮ A characterization of complex quasi-projective manifolds uniformized by unit balls ⋮ Orbifold stability and Miyaoka-Yau inequality for minimal pairs

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