Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calabi--Yau threefolds in $\mathbb{P}^6$   We study the geometry of $3$-codimensional smooth subvarieties of the complex
projective space. In particular, we classify all quasi-Buchsbaum Calabi--Yau
threefolds in projective $6$-space. Moreover, we prove that this classification
includes all Calabi--Yau threefolds contained in a possibly singular
5-dimensional quadric as well as all Calabi--Yau threefolds of degree at most
$14$ in $\mathbb{P}^6$.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat