Existence of complete Kahler Ricci-flat metrics on crepant resolutions
classification
🧮 math.DG
keywords
ricci-flatcalabi-yaucompletecrepantexistencekahlermetricsresolutions
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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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