Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heavy hyperplanes in multiarrangements and their freeness   Only few categories of free arrangements are known in which Terao's
conjecture holds. One of such categories consists of $3$-arrangements with
unbalanced Ziegler restrictions. In this paper, we generalize this result to
arbitrary dimensional arrangements in terms of flags by introducing unbalanced
multiarrangements. For that purpose, we generalize several freeness criterions
for simple arrangements, including Yoshinaga's freeness criterion, to
unbalanced multiarrangements.

30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th