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Buildings and Schubert Schemes, Hardcover by Contou-carrere
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Item specifics
- Condition
- Book Title
- Buildings and Schubert Schemes
- ISBN
- 9781498768290
- Subject Area
- Mathematics
- Publication Name
- Buildings and Schubert Schemes
- Item Length
- 9.5 in
- Publisher
- CRC Press LLC
- Subject
- Group Theory, Geometry / General, Number Theory, Combinatorics, Geometry / Algebraic
- Publication Year
- 2016
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.1 in
- Item Width
- 6.1 in
- Item Weight
- 27.3 Oz
- Number of Pages
- 462 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
1498768296
ISBN-13
9781498768290
eBay Product ID (ePID)
219111217
Product Key Features
Publication Name
Buildings and Schubert Schemes
Format
Hardcover
Language
English
Subject
Group Theory, Geometry / General, Number Theory, Combinatorics, Geometry / Algebraic
Publication Year
2016
Type
Textbook
Subject Area
Mathematics
Number of Pages
462 Pages
Dimensions
Item Length
9.5 in
Item Height
1.1 in
Item Width
6.1 in
Item Weight
27.3 Oz
Additional Product Features
LCCN
2016-008971
Intended Audience
College Audience
Lc Classification Number
Qa564.C676 2016
Table of Content
Grassmannians and Flag Varieties. Schubert Cell Decomposition of Grassmannians and Flag Varieties. Resolution of Singularities of a Schubert Variety. The Singular Locus of a Schubert Variety. The Flag Complex. Configurations and Galleries Varieties. Configurations Varieties as Galleries Varieties. The Coxeter Complex. Minimal Generalized Galleries in a Coxeter Complex. Minimal Generalized Galleries in a Reductive Group Building. Parabolic Subgroups in a Reductive Group Scheme. Associated Schemes to the Relative Building. Incidence Type Schemes of the Relative Building. Smooth Resolutions of Schubert Schemes. Contracted Products and Galleries Configurations Schemes. Functoriality of Schubert Schemes Smooth Resolutions and Base Changes. About the Coxeter Complex. Generators and Relations and the Building of a Reductive Group.
Copyright Date
2017
Dewey Decimal
516.35
Dewey Edition
23
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