Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using differential invariants to detect projective equivalences and
  symmetries of rational $3D$ curves   We present a new approach using differential invariants to detect projective
equivalences and symmetries between two rational parametric $3D$ curves
properly parametrized. In order to do this, we introduce two differential
invariants that commute with M\"obius transformations, which are the
transformations in the parameter space associated with the projective
equivalences between the curves. The M\"obius transformations are found by
first computing the gcd of two polynomials built from the differential
invariants, and then searching for the M\"obius-like factors of this gcd. The
projective equivalences themselves are easily computed from the M\"obius
transformations. In particular, and unlike previous approaches, we avoid
solving big polynomial systems. The algorithm has been implemented in Maple,
and evidences of its efficiency as well as a comparison with previous
approaches are given.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin