Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A hypergraph characterization of nearly complete intersections   Recently, nearly complete intersection ideals were defined by Boocher and
Seiner to establish lower bounds on Betti numbers for monomial ideals
(arXiv:1706.09866). Stone and Miller then characterized nearly complete
intersections using the theory of edge ideals (arXiv:2101.07901). We extend
their work to fully characterize nearly complete intersections of arbitrary
generating degrees and use this characterization to compute minimal free
resolutions of nearly complete intersections from their degree 2 part.

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The categories of this paper are: cs
20
The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: math-ph