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

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Summary:	"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 Minimal Galleries. In the second part, Schubert Schemes, the Universal Schubert Scheme and their Canonical Smooth Resolution, in terms of the incidence relation in a Tits relative building are constructed for a Reductive Group Scheme as in Grothendieck's SGAIII. This is a topic where algebra and algebraic geometry, combinatorics, and group theory interact in unusual and deep ways."--Provided by publisher.
Physical Description:	1 online resource (xvii, 444 pages)
Bibliography:	Includes bibliographical references (pages 433-436) and index.
ISBN:	9781498768313 1498768318 9781315367309 1315367300