Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ubiquity of complete intersection liaison classes   In this paper, we provide constructions to enumerate large numbers of
CI-liaison classes. To this end, we introduce a liaison invariant and prove
several results concerning it, notably that it commutes with hypersurface
sections. This theory is applied to the CI-liaison classes of ruled joins of
projective schemes, yielding strong obstructions for such joins to lie in the
same liaison class. A second construction arises from the actions of
automorphisms on liaison classes, allowing the enumeration of many liaison
classes of perfect ideals of codimension at least three.

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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
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin