Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Minimal Free Resolution of A Star-Configuration in $\mathbb{P}^n$   We find the minimal free resolution of the ideal of a star-configuration in
$\mathbb{P}^n$ of type $(r,s)$ defined by general forms in
$R=\Bbbk[x_0,x_1,\dots,x_n]$. This generalises the results of \cite{AS:1,GHM}
from a specific value of $r=2$ to any value of $1\le r\le n$. Moreover, we show
that any star-configuration in $\mathbb{P}^n$ is arithmetically Cohen-Macaulay.
As an application, we construct a few of graded Artinian rings, which have the
weak Lefschetz property, using the sum of two ideals of star-configurations in
$\mathbb{P}^n$.

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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg