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 (3)

• Riemannian geometry of Kahler-Einstein currents
• Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds
• Gromov-Hausdorff limit of Kähler manifolds and the finite generation conjecture

Cited by in corpus (15)

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• Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof
• Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π
• Conical Kahler-Einstein metric revisited
• Riemannian geometry of Kahler-Einstein currents
• Kahler-Einstein metrics and stability
• The Ricci flow on the sphere with marked points
• Extremal Kähler metrics
• Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem
• On the Kahler Ricci flow on projective manifolds of general type
• Regularity of Kähler-Ricci flow
• On uniqueness of tangent cones for Einstein manifolds
• Orbifold regularity of weak Kahler-Einstein metrics
• On the boundary behavior of Kähler-Einstein metrics on log canonical pairs
• Local Nahm transform and singularity formation of ASD connections