Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphism Groups on Tropical Curves: Some Cohomology Calculations   Let $X$ be an abstract tropical curve and let $G$ be a finite subgroup of the
automorphism group of $X$. Let $D$ be a divisor on $X$ whose equivalence class
is $G$-invariant. We address the following question: is there always a divisor
$D'$ in the equivalence class of $D$ which is $G$-invariant? Our main result is
that the answer is "yes" for all abstract tropical curves. A key step in our
proof is a tropical analogue of Hilbert's Theorem 90.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics