Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Freeness of Conic-Line Arrangements in $\mathbb P^2$   Let ${\mathcal C}= \bigcup_{i=1}^n C_i \subseteq \mathbb{P}^2$ be a
collection of smooth rational plane curves. We prove that the addition-deletion
operation used in the study of hyperplane arrangements has an extension which
works for a large class of arrangements of smooth rational curves, giving an
inductive tool for understanding the freeness of the module $\Omega^1({\mathcal
C})$ of logarithmic differential forms with pole along ${\mathcal C}$. We also
show that the analog of Terao's conjecture (freeness of $\Omega^1({\mathcal
C})$ is combinatorially determined if ${\mathcal C}$ is a union of lines) is
false in this setting.

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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin