Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pencil type line arrangements of low degree: classification and
  monodromy   The complete classification of (3,3)-nets and of (3,4)-nets with only double
and triple points is given. Up to lattice isomorphism, there are exactly 3
effective possibilities in each case, and some of these provide new examples of
pencil-type line arrangements. For arrangements consisting of at most 14 lines
and having points of multiplicity at most 5, we show that the non-triviality of
the monodromy on the first cohomology H^1(F) of the associated Milnor fiber F
implies the arrangement is of reduced pencil-type. In particular, the monodromy
is determined by the combinatorics in such cases.

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The categories of this paper are: cs
21
The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: eess