Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 4-Generated Pseudo Symmetric Monomial Curves with not Cohen-Macaulay
  Tangent Cones   In this article, standard bases of some toric ideals associated to
4-generated pseudo symmetric semigroups with not Cohen-Macaulay tangent cones
at the origin are computed. As the tangent cones are not Cohen-Macaulay,
non-decreasingness of the Hilbert function of the local ring was not
guaranteed. Therefore, using these standard bases, Hilbert functions are
explicitly computed as a step towards the characterization of Hilbert function.
In addition, when the smallest integer satisfying
$k(\alpha_2+1)<(k-1)\alpha_1+(k+1)\alpha_{21}+\alpha_3$ is $1$, it is proved
that the Hilbert function of the local ring is non-decreasing.

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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th