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arXiv · 0902.0595

Existence of complete Kahler Ricci-flat metrics on crepant resolutions

Bianca Santoro
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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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Bianca Santoro. 2009-02-03. Existence of complete Kahler Ricci-flat metrics on crepant resolutions. https://arxiv.org/abs/0902.0595

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