Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Coolidge-Nagata conjecture holds for curves with more than four
  cusps   Let E be a plane rational curve defined over complex numbers which has only
locally irreducible singularities. The Coolidge-Nagata conjecture states that E
is rectifiable, i.e. it can be transformed into a line by a birational
automorphism of the plane. We show that if it is not rectifiable then the tree
of the exceptional divisor for its minimal embedded resolution of singularities
has at most nine maximal twigs. This settles the conjecture in case E has more
than four singular points.

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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: math-ph
19
The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th