Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Examples of Multiplicities and Mixed Multiplicities of Filtrations   In this paper we construct examples of irrational behavior of multiplicities
and mixed multiplicities of divisorial filtrations. The construction makes
essential use of anti-positive intersection products.

26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph