%0 Book
%T Buildings and Schubert Schemes
%+ Laboratoire Charles Coulomb (L2C)
%A Contou-Carrere, Carlos
%@ 9781498768290
%Z L2C:16-407
%I CRC Press
%P 462
%8 2016-11-01
%D 2016
%Z Mathematics [math]/Algebraic Geometry [math.AG]Books
%X 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.
%G English
%L hal-01940773
%U https://hal.science/hal-01940773
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021