Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry, II
Simon Donaldson, Song Sun
TL;DR
This paper investigates the relationship between Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry, focusing on the algebro-geometric interpretation of tangent cones and rescaled limits.
Contribution
It advances understanding of the algebro-geometric structure of tangent cones in Gromov-Hausdorff limits of Kähler manifolds, building on previous work.
Findings
Characterization of tangent cones in algebraic terms
Insights into rescaled limits of Kähler manifolds
Connections between metric limits and algebraic geometry
Abstract
In this paper we continue to study Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry. Our main focus is on the algebro-geometric meaning of Riemannian tangent cones and rescaled limits.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory