Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below, II
math.DG
/ Authors
/ Abstract
We study non-collapsed Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Our main result is that each tangent cone is homeomorphic to a normal affine variety. This extends a result of Donaldson-Sun, who considered non-collapsed limits of polarized Kähler manifolds with two-sided Ricci curvature bounds.