Buildings and Schubert schemes /

"The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way. Smooth resolutions for these varieties are constructed in terms of Flag Configurations in k^(r+1) given by linear graphs called...

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Bibliographic Details
Main Author:	Contou-Carrere, Carlos (Carlos Enrique) (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton : CRC Press, Taylor & Francis Group, [2017]
Subjects:	Schubert varieties. Geometry, Algebraic. Linear algebraic groups. Buildings (Group theory) Variétés de Schubert. Géométrie algébrique. Groupes linéaires algébriques. Immeubles (Théorie des groupes) MATHEMATICS > Geometry > General. Geometry, Algebraic Linear algebraic groups Schubert varieties Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Grassmannians and flag varieties
Schubert cell decomposition of Grassmannians and flag varieties
Resolution of singularities of a Schubert variety
The singular locus of a Schubert variety
The flag complex
Configurations and Galleries varieties
Configuration varieties as gallery varieties
The Coxeter complex
Minimal generalized galleries in a Coxeter complex
Minimal generalized galleries in a reductive group building
Parabolic subgroups in a reductive group scheme
Associated schemes to the relative building
Incidence type schemes of the relative building
Smooth resolutions of Schubert schemes
Contracted products and galleries configurations schemes
Functoriality of Schubert schemes smooth resolutions and base changes.