Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contracting rigid germs in higher dimensions   Following Favre, we define a holomorphic germ f:(C^d,0) -> (C^d,0) to be
rigid if the union of the critical set of all iterates has simple normal
crossing singularities. We give a partial classification of contracting rigid
germs in arbitrary dimensions up to holomorphic conjugacy. Interestingly
enough, we find new resonance phenomena involving the differential of f and its
linear action on the fundamental group of the complement of the critical set.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
24
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: eess
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The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th