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.
By:
Carlos Contou-Carrere (University of Montpellier France) Imprint: CRC Press Inc Country of Publication: United States Dimensions:
Height: 234mm,
Width: 156mm,
Spine: 28mm
Weight: 771g ISBN:9781498768290 ISBN 10: 1498768296 Pages: 462 Publication Date:01 November 2016 Audience:
General/trade
,
College/higher education
,
Professional and scholarly
,
ELT Advanced
,
Primary
Format:Hardback Publisher's Status: Active