Existence of complete Kahler Ricci-flat metrics on crepant resolutions
Differential Geometry
2012-05-22 v3
Abstract
In this note, we obtain existence results for complete Ricci-flat Kahler metrics on crepant resolutions of singularities of Calabi-Yau varieties. Furthermore, for certain asymptotically flat Calabi-Yau varieties, we show that the Ricci-flat metric on the resolved manifold has the same asymptotic behavior as the initial variety.
Keywords
Cite
@article{arxiv.0902.0595,
title = {Existence of complete Kahler Ricci-flat metrics on crepant resolutions},
author = {Bianca Santoro},
journal= {arXiv preprint arXiv:0902.0595},
year = {2012}
}
Comments
Revised version, 17 pages. Comments are welcome