A01=Carlos Contou-Carrere
advanced Schubert scheme research
Affine Coordinates
Affine Open Sets
algebraic geometry
Author_Carlos Contou-Carrere
Birational Morphism
Bruhat Decomposition
Bruhat's Lemma
Category=PBH
Category=PBM
Category=PBV
combinatorial algebra
Combinatorial Flags
Commutative Diagram
Convex Hull
Counter Clock Wise
coxeter complex
Coxeter groups
Coxeter System
Descent Data
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fiber Decomposition
Flag Varieties
Generalized Galleries
group theory
incidence geometry
Maximal Torus
Minimal Galleries
Orbit Decomposition
Parabolic Set
Parabolic Subgroup
parabolics
Reductive Algebraic Group
reductive group scheme
Relative Position Matrices
resolution of singularities
Schubert Cell
Schubert Schemes
Schubert Varieties
singular locus of a Schubert variety
singularity resolution
Smooth Resolution
Tits building of a reductive group
Zariski's Tangent Space
Product details
- ISBN 9780367782665
- Weight: 860g
- Dimensions: 156 x 234mm
- Publication Date: 31 Mar 2021
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
Secure
checkout
Fast Shipping
Easy returns
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.
