Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non d\'eg\'en\'erescence et singularit\'es des m\'etriques d'Einstein
  asymptotiquement hyperboliques en dimension 4   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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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph