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Existence of complete Kahler Ricci-flat metrics on crepant resolutions

Authors
  • Santoro, Bianca
Type
Preprint
Publication Date
May 18, 2012
Submission Date
Feb 03, 2009
Identifiers
arXiv ID: 0902.0595
Source
arXiv
License
Yellow
External links

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.

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