Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the regularity of product of pure power complete intersections   Let I be a complete intersection in a polynomial ring over a field, the
Castelnuovo-Mumford regularity of I^n is given by using an induction method.
When I, J and K are three pure power complete intersections, it is proved that
reg(IJK) is not more than reg(I)+reg(J)+reg(K).

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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn