Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the intersection of two quadrics through projection and
  lifting   This paper is devoted to presenting a new approach to determine the
intersection of two quadrics based on the detailed analysis of its projection
in the plane (the so called cutcurve) allowing to perform the corresponding
lifting correctly. This approach is based on a new computational
characterisation of the singular points of the cutcurve and on how this curve
is located with respect to the projection of the considered quadrics (whose
boundaries are the so called silhouette curves).

28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin