Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of bicuspidal rational complex projective plane curves   We give several constructions of bicuspidal rational complex projective plane
curves, and list the Newton pairs and the multiplicity sequences of the
singularities on the resulting curves.
  Although the existence of some of the listed cusp configurations is already
proved in the literature, the advantage of our approach is that on one hand we
explicitly state the Newton pairs and the multiplicity sequences of the
singularities on the curves, on the other hand, we also give birational
transformations transforming a conic or a bicuspidal curve with simple equation
to these rational bicuspidal curves with given cusp configurations.

1
The categories of this paper are: cs
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom