Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperelliptic Loop Solitons with Genus g: Investigations of a Quantized
  Elastica   In the previous work (J. Geom. Phys. {\bf{39}} (2001) 50-61), the closed loop
solitons in a plane, \it i.e., loops whose curvatures obey the modified
Korteweg-de Vries equations, were investigated for the case related to
algebraic curves with genera one and two. This article is a generalization of
the previous article to those of hyperelliptic curves with general genera. It
was proved that the tangential angle of loop soliton is expressed by the
Weierstrass hyperelliptic al function for a given hyperelliptic curve $y^2 =
f(x)$ with genus $g$.

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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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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: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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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: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int