Buildings and Schubert Schemes

Author(s): Carlos Contou-Carrere

Date: Format: pdf Language: English ISBN/ASIN: 1498768296
Pages: OCR: Quality: ISBN13:
Uploader: Upload Date: 2/28/2019 9:52:19 PM
                               

Description:
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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