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.
- ISBN10 1498768296
- ISBN13 9781498768290
- Publish Date 1 November 2016
- Publish Status Active
- Publish Country US
- Publisher Taylor & Francis Inc
- Imprint Productivity Press
- Format Hardcover
- Pages 462
- Language English