Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euclid meets Bezout: Intersecting algebraic plane curves with the
  Euclidean algorithm   We show how the Eulcidean algorithm for polynomials can be used to find the
intersection points, with multiplicities, of two plane algebraic curves.

4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc