Click Here to Download: https://ouo.io/M5i8Gs Buildings and Schubert Schemes By: Carlos Contou-Carrere Publisher: routledge Print ISBN: 9781498768290, 1498768296 eText ISBN: 9781498768313, 1498768318 Copyright year: 2017 Format: PDF Available from $ 67.98 USD SKU 9781498768313R90 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.
