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A tentacle example for the stability of the positive mass theorem for Kähler manifolds
We construct a sequence of AE Kähler metrics on C^2 with nonnegative and integrable scalar curvature whose ADM mass tends to zero but which, for a suitable choice of basepoints, fails to converge to Euclidean space in the pointed Gromov-Hausdorff sense. This shows that, without any additional assump
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