Topological flatness of local models in the ramified case

2002/05/06 by Ulrich Goertz, Goertz, Ulrich
Mathematics · #11G18 #14G35 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:11G18 #msc:14G35

paper · pdf · doi:10.48550/arxiv.math/0205050

LaTeX, 18 pages. Added a section to cover the general parahoric case

arxiv created 2003/06/04 · arxiv updated 2009/11/30

Abstract

Local models are schemes defined in terms of linear algebra which can be used to study the local structure of integral models of certain Shimura varieties, with parahoric level structure. We investigate the local models for groups of the form Res_F/\Qp GL_n and Res_F/\Qp GSp₂g where F/Q_p is a totally ramified extension, as defined by Pappas and Rapoport, and show that they are topologically flat. In the linear case, flatness can be deduced from this.

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