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0 (hodnocen0 x )

EB

EB

First edition.

Boca Raton, FL : CRC Press, 2017.

1 online zdroj

ISBN 9781315367309 (e-book : PDF)

ISBN !9781498768290 (chyb.) (hardback)

Tištěná verze : ISBN 9781498768290

chapter 1 Grassmannians and Flag Varieties -- chapter 2 Schubert Cell Decomposition of Grassmannians and Flag Varieties -- chapter 3 Resolution of Singularities of a Schubert Variety -- chapter 4 The Singular Locus of a Schubert Variety -- chapter 5 The Flag Complex -- chapter 6 Configurations and Galleries varieties -- chapter 7 Configuration Varieties as Gallery Varieties -- chapter 8 The Coxeter complex -- chapter 9 representation 9. Minimal Generalized Galleries in a Coxeter Complex -- chapter 10 Minimal Generalized Galleries in a Reductive Group Building -- chapter 11 Parabolic Subgroups in a Reductive Group Scheme -- chapter 12 Associated Schemes to the Relative Building -- chapter 13 Incidence Type Schemes of the Relative Building -- chapter 14 Smooth Resolutions of Schubert Schemes -- chapter 15 Contracted Products and Galleries Con?gurations Schemes -- chapter 16 Functoriality of Schubert Schemes Smooth Resolutions and Base Changes.

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..

001478561

(OCoLC)974711764