Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth, isolated curves in families of Calabi-Yau threefolds in
  homogeneous spaces   We show the existence of smooth isolated curves of different degrees and
genera in Calabi-Yau threefolds that are complete intersections in homogeneous
spaces. Along the way, we classify all degrees and genera of smooth curves on
BN general K3 surfaces of low genera. By results of Mukai, these are the K3
surfaces that can be realised as complete intersections in certain homogeneous
spaces.

9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc