Buildings and Schubert Schemes, Paperback / softback Book

Buildings and Schubert Schemes Paperback / softback

Paperback / softback

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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.

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