Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double integrals on a weighted projective plane and the Hilbert modular
  functions for $\mathbb{Q}(\sqrt{5})$   The aim of this paper is to give an explicit extension of the classical
elliptic integrals to the Hilbert modular case for $\mathbb{Q}(\sqrt{5})$. We
study a family of Kummer surfaces corresponding to the Humbert surface of
invariant $5$ with two complex parameters. Our Kummer surface is given by a
double covering of the weighted projective space $\mathbb{P}(1:1:2)$ branched
along a parabola and a quintic curve. The period mapping for our family is
given by double integrals of an algebraic function on chambers coming from an
arrangement of a parabola and a quintic curve in $\mathbb{C}^2$.

5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas