Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Irreducibility of the Siegel moduli spaces with parahoric level
  structure   We prove that the moduli space ${\mathcal A}_{g,\Gamma_0(p)}\otimes \bar
{\mathbb F}_p$ of principally polarized abelian varieties of dimension $g$ with
a $\Gamma_0(p)$-level structure in characteristic $p$ has $2^g$ irreducible
components.The cases of other parahoric level structures are also considered.

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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: cs