Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactification minimale et mauvaise reduction   We construct the minimal compactification of some modular Siegel varieties at
their bad reduction places. These varieties parametrize principally polarized
abelian schemes endowed with a parahoric level structure at a prime number $p$,
and with an auxiliary level structure ; such varieties have bad reduction at
$p$. We also sketch the arithmetic theory of the associated Siegel modular
forms.
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  Nous construisons la compactification minimale de certaines varietes
modulaires de Siegel en leurs places de mauvaise reduction. Ces varietes
parametrent des schemas abeliens principalement polarises munis d'une structure
de niveau parahorique en un nombre premier $p$, et d'une structure de niveau
auxilliaire ; elles ont mauvaise reduction en $p$. Nous esquissons egalement
une theorie arithmetique des formes modulaires de Siegel associees a ces
varietes.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin