Convergence of Calabi-Yau manifolds

DOI10.1016/j.aim.2011.06.023zbMath1232.32012arXiv0905.3424OpenAlexW2051718629MaRDI QIDQ639562

Yuguang Zhang, Wei-Dong Ruan

Publication date: 22 September 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3424

zbMATH Keywords

orbifold singularityCalabi-Yau metricscanonical singularityGromov-Haussdorff convergence

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Capacity theory and generalizations (32U20)

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A decomposition theorem for smoothable varieties with trivial canonical class ⋮ Singular Gauduchon metrics ⋮ Collapsing of abelian fibered Calabi-Yau manifolds ⋮ Families of singular Kähler-Einstein metrics ⋮ Uniqueness of tangent cone of Kähler-Einstein metrics on singular varieties with crepant singularities ⋮ Variation of singular Kähler-Einstein metrics: Kodaira dimension zero (with an appendix by Valentino Tosatti) ⋮ Geometry of twisted Kähler-Einstein metrics and collapsing ⋮ On the limit behavior of metrics in the continuity method for the Kähler–Einstein problem on a toric Fano manifold ⋮ On a conjecture of Candelas and de la Ossa ⋮ Limiting behavior of a class of Hermitian Yang-Mills metrics. I ⋮ Tropical and non-Archimedean limits of degenerating families of volume forms ⋮ Gravitational instantons with faster than quadratic curvature decay. III. ⋮ DEGENERATIONS OF RICCI-FLAT CALABI–YAU MANIFOLDS ⋮ Families of singular Chern-Ricci flat metrics

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