We study noncollapsed 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 noncollapsed limits of polarized Kähler manifolds with two-sided Ricci curvature bounds.
ASJC Scopus subject areas
- Applied Mathematics