Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Period differential equations for the families of $K3$ surfaces with $2$
  parameters derived from the reflexive polytopes   In this paper, we study the period mappings for the families of $K3$ surfaces
derived from the $3$-dimensional $5$-verticed reflexive polytopes. We determine
the lattice structures, the period differential equations and the projective
monodromy groups.
  Moreover, we show that one of our period differential equations coincides
with the unifomizing differential equation of the Hilbert modular orbifold for
the field $\mathbb{Q}(\sqrt{5})$.

30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol