We prove compactification theorems for some complete Kähler manifolds with nonnegative Ricci curvature. Among other things, we prove that a complete non-compact Ricci-flat Kähler manifold with maximal volume growth and quadratic curvature decay is a crepant resolution of a normal affine algebraic variety. Furthermore, such an affine variety degenerates in two steps to the unique metric tangent cone at infinity.

中文翻译：

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具有非负Ricci曲率的某些Kähler流形的压缩

我们证明了一些具有非负Ricci曲率的完整Kähler流形的紧定理。除其他事项外，我们证明具有最大体积增长和二次曲率衰减的完整非紧致Ricci-flatKähler流形是正常仿射代数形式的近似分辨率。此外，这种仿射变体在两步中退化为无穷大处的唯一公制切线锥。