Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A holomorphic transformation to a miniversal deformation under
  *congruence does not always exist   V.I. Arnold [Russian Math. Surveys 26(2) (1971) 29-43] constructed miniversal
deformations of square complex matrices under similarity. Reduction
transformations to them and also to miniversal deformations of matrix pencils
and matrices under congruence can be taken holomorphic. We prove that this is
not true for reduction transformations to miniversal deformations of matrices
under *congruence.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin