Compactification of certain K\"ahler manifolds with nonnegative Ricci curvature
Differential Geometry
2017-06-20 v1 Algebraic Geometry
Complex Variables
Abstract
We prove compactification theorems for some complete K\"ahler manifolds with nonnegative Ricci curvature. Among other things, we prove that a complete noncompact K\"ahler Ricci flat manifold with maximal volume growth and quadratic curvature decay is a crepant resolution of a normal affine algebraic variety. Furthermore, such affine variety degenerates in two steps to the unique metric tangent cone at infinity.
Cite
@article{arxiv.1706.06067,
title = {Compactification of certain K\"ahler manifolds with nonnegative Ricci curvature},
author = {Gang Liu},
journal= {arXiv preprint arXiv:1706.06067},
year = {2017}
}
Comments
20 pages