Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new method to compute the singularities of offsets to rational plane
  curves   Given a planar curve defined by means of a real rational parametrization, we
prove that the affine values of the parameter generating the real singularities
of the offset are real roots of a univariate polynomial that can be derived
from the parametrization of the original curve, without computing or making use
of the implicit equation of the offset. By using this result, a finite set
containing all the real singularities of the offset, and in particular all the
real self-intersections of the offset, can be computed. We also report on
experiments carried out in the computer algebra system Maple, showing the
efficiency of the algorithm for moderate degrees.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg