Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finiteness properties of formal Lie group actions   Following ideas of Arnold and Seigal-Yakovenko, we prove that the space of
matrix coefficients of a formal Lie group action belongs to a Noetherian ring.
Using this result we extend the uniform intersection multiplicity estimates of
these authors from the abelian case to general Lie groups. We also demonstrate
a simple new proof for a jet-determination result of Baouendi et. al.
  In the second part of the paper we use similar ideas to prove a result on
embedding formal diffeomorphisms in one-parameter groups extending a result of
Takens. In particular this implies that the results of Arnold and
Seigal-Yakovenko are formal consequence of our result for Lie groups.

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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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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: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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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: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg