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arxiv: 1706.06067 · v1 · pith:2BIOHPOJnew · submitted 2017-06-19 · 🧮 math.DG · math.AG· math.CV

Compactification of certain K\"ahler manifolds with nonnegative Ricci curvature

Gang Liu This is my paper
classification 🧮 math.DG math.AGmath.CV
keywords ahlercurvaturericciaffinecompactificationcompletemanifoldsnonnegative
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We prove compactification theorems for some complete K\"ahler manifolds with nonnegative Ricci curvature. Among other things, we prove that a complete noncompact K\"ahler Ricci flat manifold with maximal volume growth and quadratic curvature decay is a crepant resolution of a normal affine algebraic variety. Furthermore, such affine variety degenerates in two steps to the unique metric tangent cone at infinity.

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