Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the nonfree locus of the moduli space of arrangements and
  Terao's freeness conjecture   In this paper, we show how to compute using Fitting ideals the nonfree locus
of the moduli space of arrangements of a rank $3$ simple matroid, i.e., the
subset of all points of the moduli space which parametrize nonfree
arrangements. Our approach relies on the so-called Ziegler restriction and
Yoshinaga's freeness criterion for multiarrangements. We use these computations
to verify Terao's freeness conjecture for rank $3$ central arrangements with up
to $14$ hyperplanes in any characteristic.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org