Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amoebas, Ronkin function and Monge-Amp\`ere measures of algebraic curves
  with marked points   A generalization of the amoeba and the Ronkin function of a plane algebraic
curve for a pair of harmonic functions on an algebraic curve with punctures is
proposed. Extremal properties of $M$-curves are proved and connected with the
spectral theory of difference operators with positive coefficients.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics