Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calabi-Yau Varieties and Pencils of K3 Surfaces   In this note, we give a list of Calabi-Yau hypersurfaces in weighted
projective 4-spaces with the property that a hypersurface contains naturally a
pencil of K3 variety. For completeness we also obtain a similar list in the
case K3 hypersurfaces in weighted projective 3-spaces. The first list
significantly enlarges the list of K3-fibrations of \KlemmLercheMayr~ which has
been obtained on some assumptions on the weights. Our lists are expected to
correspond to examples of the so-called heterotic-type II duality
\KachruVafa\KachruSilverstein.

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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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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: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: physics