Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density of orbits of endomorphisms of commutative linear algebraic
  groups   We prove a conjecture of Medvedev and Scanlon for endomorphisms of connected
commutative linear algebraic groups $G$ defined over an algebraically closed
field $\mathbb{k}$ of characteristic $0$. That is, if $\Phi\colon
G\longrightarrow G$ is a dominant endomorphism, we prove that one of the
following holds: either there exists a non-constant rational function $f\in
\mathbb{k}(G)$ preserved by $\Phi$ (i.e., $f\circ \Phi = f$), or there exists a
point $x\in G(\mathbb{k})$ whose $\Phi$-orbit is Zariski dense in $G$.

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics