Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry, II

Abstract

In this paper we continue to study Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry. Our main focus is on the algebro-geometric meaning of Riemannian tangent cones and rescaled limits.

References in corpus (6)

• Riemannian geometry of Kahler-Einstein currents
• Resolution of Singularities -- Seattle Lecture
• Families of Calabi-Yau manifolds and canonical singularities
• Filtrations and test-configurations
• Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds
• Gromov-Hausdorff limit of Kähler manifolds and the finite generation conjecture

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• Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π
• On the moduli of Kahler-Einstein Fano manifolds
• Conical Kahler-Einstein metric revisited
• Riemannian geometry of Kahler-Einstein currents
• Compact Moduli Spaces of Del Pezzo Surfaces and Kähler-Einstein metrics
• Kahler-Einstein metrics and stability
• Families of Calabi-Yau manifolds and canonical singularities
• The Ricci flow on the sphere with marked points
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• Extremal Kähler metrics
• Regularity of Kähler-Ricci flows on Fano manifolds
• Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem
• Minimizing normalized volumes of valuations
• Remarks of weak-compactness along Kahler Ricci flow
• On the Kahler Ricci flow on projective manifolds of general type
• Regularity of Kähler-Ricci flow
• On uniqueness of tangent cones for Einstein manifolds
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• Canonical Kahler metrics and Arithmetics -- Generalising Faltings heights
• On the boundary behavior of Kähler-Einstein metrics on log canonical pairs
• Fano-Ricci limit spaces and spectral convergence
• Orbifold regularity of weak Kahler-Einstein metrics
• Degenerations of Ricci-flat Calabi-Yau manifolds
• Volume minimization and obstructions to solving some problems in Kähler geometry
• Macroscopic dimension and fundamental group of manifolds with positive isotropic curvature
• Separatedness of moduli of K-stable varieties
• Local Nahm transform and singularity formation of ASD connections