Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On plane polynomial automorphisms commuting with simple derivations   We consider the subgroup Aut(D) consisting of automorphisms of K[x,y]
commuting with a derivation D, where K is an algebraically closed field of
characteristic 0. We prove that if D is simple (i.e. D does not stabilize
non-trivial ideals), then Aut(D)=1, in the case where D is of Shamsuddin type
this result was proven by R.Baltazar in 2014 (arXiv:1412.8373). Moreover, we
describe Aut(D) for Shamsuddin type derivations and deduce that Aut(D)=1 for a
general such derivation implies D is simple.

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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th