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arXiv · 1903.04390

Gromov-Hausdorff limits of K\"ahler manifolds with Ricci curvature bounded below, II

Gang Liu·Gábor Székelyhidi
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Abstract

We study non-collapsed Gromov-Hausdorff limits of K\"ahler 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 K\"ahler manifolds with two-sided Ricci curvature bounds.

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Gang Liu, Gábor Székelyhidi. 2019-03-11. Gromov-Hausdorff limits of K\"ahler manifolds with Ricci curvature bounded below, II. https://arxiv.org/abs/1903.04390

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