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.
No takes yet. Share an insight, caveat, or question.
Liu et al. (2019) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: