Vol. 15, No. 7, 2021

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Modèle local des schémas de Hilbert–Siegel de niveau $\Gamma_1(p)$

Shinan Liu

Vol. 15 (2021), No. 7, 1655–1698
DOI: 10.2140/ant.2021.15.1655

Nous construisons un modèle local pour les schémas de Hilbert–Siegel de niveau Γ1(p), lorsque p est non-ramifié dans le corps totalement réel. Notre outil clé est une variante du complexe de Lie anneau-équivariant défini par Illusie.

We construct a local model for Hilbert–Siegel moduli schemes with Γ1(p)-level structures, when p is unramified in the totally real field. Our key tool is a variant of the ring-equivariant Lie complex defined by Illusie.

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variété de Shimura, modèle local, complexe cotangent
Mathematical Subject Classification 2010
Primary: 11G18
Secondary: 14A99
Received: 10 November 2019
Revised: 3 November 2020
Accepted: 12 December 2020
Published: 1 November 2021
Shinan Liu
Morningside Center of Mathematics
Chinese Academy of Sciences