Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)

Liu, Shinan

doi:10.2140/ant.2021.15.1655

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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

Abstract

Nous construisons un modèle local pour les schémas de Hilbert–Siegel de niveau $Γ_{1} (p)$ , 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 $Γ_{1} (p)$ -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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Keywords

variété de Shimura, modèle local, complexe cotangent

Mathematical Subject Classification 2010

Primary: 11G18

Secondary: 14A99

Milestones

Received: 10 November 2019

Revised: 3 November 2020

Accepted: 12 December 2020

Published: 1 November 2021

Authors

Shinan Liu
Morningside Center of Mathematics Chinese Academy of Sciences Beijing China

Vol. 15, No. 7, 2021