A01=Carlos Contou-Carrere
advanced Schubert scheme research
Affine Coordinates
Affine Open Sets
Age Group_Uncategorized
Age Group_Uncategorized
algebraic geometry
Author_Carlos Contou-Carrere
automatic-update
Birational Morphism
Bruhat Decomposition
Bruhat's Lemma
Category1=Non-Fiction
Category=PBH
Category=PBM
Category=PBV
combinatorial algebra
Combinatorial Flags
Commutative Diagram
Convex Hull
COP=United States
Counter Clock Wise
coxeter complex
Coxeter groups
Coxeter System
Delivery_Delivery within 10-20 working days
Descent Data
eq_isMigrated=2
eq_nobargain
Fiber Decomposition
Flag Varieties
Generalized Galleries
group theory
incidence geometry
Language_English
Maximal Torus
Minimal Galleries
Orbit Decomposition
PA=Available
Parabolic Set
Parabolic Subgroup
parabolics
Price_€100 and above
PS=Active
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
softlaunch
Tits building of a reductive group
Zariski's Tangent Space
Product details
- ISBN 9781498768290
- Weight: 771g
- Dimensions: 156 x 234mm
- Publication Date: 01 Nov 2016
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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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.
