Compactification minimale et mauvaise reductionReport as inadecuate



 Compactification minimale et mauvaise reduction


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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. - 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 dune structure de niveau parahorique en un nombre premier $p$, et dune 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.



Author: Benoit Stroh

Source: https://archive.org/







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