Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the arithmetic of simple singularities of type E   An ADE Dynkin diagram gives rise to a family of algebraic curves. In this
paper, we use arithmetic invariant theory to study the integral points of the
curves associated to the exceptional diagrams $E_6, E_7$, $E_8$. These curves
are non-hyperelliptic of genus 3 or 4. We prove that a positive proportion of
each family consists of curves with integral points everywhere locally but no
integral points globally.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph