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Asymptotically conical Ricci flat Kähler metrics on $\mathbb{C}^2$ with cone singularities along a complex curve (1503.00574v2)

Published 2 Mar 2015 in math.DG

Abstract: We prove an existence theorem for Asymptotically Conical Ricci Flat Kahler metrics in $\mathbb{C}2$ with cone singularities along a smooth complex curve. These metrics are expected to arise as blow up limits of non collapsed sequences of Kahler Einstein metrics with cone singularities.

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