Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ample subvarieties and q-ample divisors   We introduce a notion of ampleness for subschemes of higher codimension using
the theory of q-ample line bundles. We also investigate certain geometric
properties satisfied by ample subvarieties, e.g. the Lefschetz hyperplane
theorems and numerical positivity. Using these properties, we also construct a
counterexample to the converse of the Andreotti-Grauert vanishing theorem.

10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys