Topological flatness of local models in the ramified case

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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/\Q_p} GL_n and Res_{F/\Q_p} GSp_2g 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.
LaTeX, 18 pages. Added a section to cover the general parahoric case

Keywords

Algebraic Geometry, 14G35; 11G18

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/63985

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205050
 http://arxiv.org/abs/math/0205050

Collections

arXiv