Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A counter-example to the theorem of Hiemer and Snurnikov   A planar polygonal billiard $\P$ is said to have the finite blocking property
if for every pair $(O,A)$ of points in $\P$ there exists a finite number of
``blocking'' points $B_1, ..., B_n$ such that every billiard trajectory from
$O$ to $A$ meets one of the $B_i$'s. As a counter-example to a theorem of
Hiemer and Snurnikov, we construct a family of rational billiards that lack the
finite blocking property.

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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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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: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin