Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On abelian points of varieties intersecting subgroups in a torus   We show, under some natural conditions, that the set of abelian points on the
non-anomalous dense subset of a closed irreducible subvariety $X$ intersected
with the union of connected algebraic subgroups of codimension at least $\dim
X$ in a torus is finite, generalising results of Ostafe, Sha, Shparlinski and
Zannier (2017). We also generalise their structure theorem for such sets when
the algebraic subgroups are not necessarily connected, and obtain a related
result in the context of curves and arithmetic dynamics.

25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat