Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gherardelli linkage and complete intersections   Our main theorem characterizes the complete intersections of codimension 2 in
a projective space of dimension 3 or more over an algebraically closed field of
characteristic 0 as the subcanonical and self-linked subschemes. In order to
prove this theorem, we'll prove the Gherardelli linkage theorem, which asserts
that a partial intersection of two hypersurfaces is subcanonical if and only if
its residual intersection is, scheme-theoretically, the intersection of the two
hypersurfaces with a third.

29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci