Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multigraded Hilbert function and toric complete intersection codes   Let $X$ be a complete $n$-dimensional simplicial toric variety with
homogeneous coordinate ring $S$. We study the multigraded Hilbert function
$H_Y$ of reduced $0$-dimensional subschemes $Y$ in $X$. We provide explicit
formulas and prove non-decreasing and stabilization properties of $H_Y$ when
$Y$ is a $0$-dimensional complete intersection in $X$. We apply our results to
computing the dimension of some evaluation codes on $0$-dimensional complete
intersection in simplicial toric varieties.

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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom