Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free resolutions of Dynkin format and the licci property of grade 3
  perfect ideals   Recent work on generic free resolutions of length 3 attaches to every
resolution a graph and suggests that resolutions whose associated graph is a
Dynkin diagram are distinguished. We conjecture that in a regular local ring,
every grade 3 perfect ideal whose minimal free resolution is distinguished in
this way is in the linkage class of a complete intersection.

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The categories of this paper are: cond-mat
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The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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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: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ