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Buildings and Schubert Schemes
Paperback
ISBN13: 9780367782665
Publisher: Crc Pr Inc
Published: Mar 31 2021
Pages: 462
Weight: 1.42
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English
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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