Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renitent lines   There are many examples for point sets in finite geometry, which behave
"almost regularly" in some (well-defined) sense, for instance they have "almost
regular" line-intersection numbers. In this paper we investigate point sets of
a desarguesian affine plane, for which there exist some (sometimes: many)
parallel classes of lines, such that almost all lines of one parallel class
intersect our set in the same number of points (possibly mod $p$, the
characteristic). The lines with exceptional intersection numbers are called
renitent, and we prove results on the (regular) behaviour of these renitent
lines.

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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
0
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: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom