Buildings and Schubert Schemes

By Carlos Contou-Carrere

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.

• Format: Paperback
• Language: English
• ISBN: 0367782669
• ISBN13: 9780367782665
• Release Date: March 2021
• Publisher: CRC Press
• Length: 462 Pages
• Weight: 1.42 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"