Non d\'eg\'en\'erescence et singularit\'es des m\'etriques d'Einstein asymptotiquement hyperboliques en dimension 4
Abstract
We prove that desingularizations of non degenerate Poincar\'e-Einstein metrics with A1 singularities remain non degenerate. In principle this enables a recursive procedure to desingularize the other Fuchsian singularities. We illustrate this procedure by the A2 case.
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