Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monomial ideals, almost complete intersections and the Weak Lefschetz
  Property   Many algebras are expected to have the Weak Lefschetz property though this is
often very difficult to establish. We illustrate the subtlety of the problem by
studying monomial and some closely related ideals. Our results exemplify the
intriguing dependence of the property on the characteristic of the ground
field, and on arithmetic properties of the exponent vectors of the monomials.

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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: math-ph