Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the integrality of the Taylor coefficients of mirror maps   We show that the Taylor coefficients of the series ${\bf q}(z)=z\exp({\bf
G}(z)/{\bf F}(z))$ are integers, where ${\bf F}(z)$ and ${\bf G}(z)+\log(z)
{\bf F}(z)$ are specific solutions of certain hypergeometric differential
equations with maximal unipotent monodromy at $z=0$. We also address the
question of finding the largest integer $u$ such that the Taylor coefficients
of $(z ^{-1}{\bf q}(z))^{1/u}$ are still integers. As consequences, we are able
to prove numerous integrality results for the Taylor coefficients of mirror
maps of Calabi-Yau complete intersections in weighted projective spaces, which
improve and refine previous results by Lian and Yau, and by Zudilin. In
particular, we prove the general "integrality" conjecture of Zudilin about
these mirror maps.

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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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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: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg