[DOWNLOAD] "Buildings and Schubert Schemes" by Carlos Contou-Carrere # eBook PDF Kindle ePub Free

March 28, 2021

eBook details

Title: Buildings and Schubert Schemes
Author : Carlos Contou-Carrere
Release Date : January 03, 2017
Genre: Mathematics,Books,Science & Nature,Life Sciences,
Pages : * pages
Size : 26401 KB

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 T**s 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.