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Existence of complete Kahler Ricci-flat metrics on crepant resolutions

2009/02/03 by Santoro, Bianca
#(Secondary) #32Q25 (Primary) #51M99 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0902.0595

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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