Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of divisors on hyperelliptic curves, Gr\"obner bases and
  plane curves with quasi-toric relations   In the study of hyperelliptic curve cryptography, presentations of
semi-reduced divisors on a hyperelliptic curve play important roles. In this
note, we give an interpretation for such presentations from view points of
Gr\"obner bases. As applications, (i) we give a method to construct weak
$n$-contact curves and (ii) we study plane curves satisfying quasi-toric
relations of type $(2, n, 2)$

34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin