Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sigma-function solution to the general Somos-6 recurrence via
  hyperelliptic Prym varieties   We construct the explicit solution of the initial value problem for sequences
generated by the general Somos-6 recurrence relation, in terms of the Kleinian
sigma-function of genus two. For each sequence there is an associated genus two
curve $X$, such that iteration of the recurrence corresponds to translation by
a fixed vector in the Jacobian of $X$. The construction is based on a Lax pair
with a spectral curve $S$ of genus four admitting an involution $\sigma$ with
two fixed points, and the Jacobian of $X$ arises as the Prym variety
Prym$(S,\sigma)$.

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The categories of this paper are: funct-an
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The categories of this paper are: cs
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
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The categories of this paper are: econ