Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kummer sandwiches and Greene-Plesser construction   In the context of K3 mirror symmetry, the Greene-Plesser orbifolding method
constructs a family of K3 surfaces, the mirror of quartic hypersurfaces in
$\mathbb{P}^3$, starting from a special one-parameter family of K3 varieties
known as the quartic Dwork pencil. We show that certain K3 double covers
obtained from the three-parameter family of quartic Kummer surfaces associated
with a principally polarized abelian surface generalize the relation of the
Dwork pencil and the quartic mirror family. Moreover, for the three-parameter
family we compute a formula for the rational point-count of its generic member
and derive its transformation behavior with respect to $(2,2)$-isogenies of the
underlying abelian surface.

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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg