Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Period differential equations for families of K3 surfaces derived from
  some 3 dimensional reflexive polytopes   We study period maps for families of $K3$ surfaces those are given by anti
canonical divisors of toric varieties coming from reflexive polytopes $P_2,
P_4, P_5$ and $P_r$. We obtain systems of period differential equations for
these families. Moreover, in the case $P_4$, we determine the projective
monodromy group of the period map. This group is explicitly related with the
Hilbert modular group for $\mathbb{Q}(\sqrt{5})$.

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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom