Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperelliptic Integrals and Mirrors of the Johnson-Koll\'ar del Pezzo
  Surfaces   For all k>0 integer, we consider the regularised I-function of the family of
del Pezzo surfaces of degree 8k+4 in P(2,2k+1,2k+1, 4k+1), first constructed by
Johnson and Koll\'ar. We show that this function, which is of hypergeometric
type, is a period of an explicit pencil of curves. Thus the pencil is a
candidate LG mirror of the family of del Pezzo surfaces. The main feature of
these surfaces, which makes the mirror construction especially interesting, is
that the anticanonical system is empty: because of this, our mirrors are not
covered by any other construction known to us. We discuss connections to the
work of Beukers, Cohen and Mellit on hypergeometric functions.

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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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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: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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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: math-ph
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The categories of this paper are: chao-dyn