Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bound for the regularity index of fat points   The problem to find an upper bound for the regularity index of fat points has
been dealt with by many authors. In this paper we give a lower bound for the
regularity index of fat points. It is useful for determining the regularity
index.

7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an