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Buildings and Schubert Schemes, Hardcover by Contou-carrere, Carlos, Brand Ne...

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Last updated on May 17, 2024 03:05:17 PDTView all revisionsView all revisions

Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Buildings and Schubert Schemes
ISBN
9781498768290
Publication Year
2016
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Buildings and Schubert Schemes
Item Height
1.1in
Author
Carlos Contou-Carrere
Item Length
9.5in
Publisher
CRC Press LLC
Item Width
6.1in
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

Author
Carlos Contou-Carrere
Publication Name
Buildings and Schubert Schemes
Format
Hardcover
Language
English
Publication Year
2016
Type
Textbook
Number of Pages
462 Pages

Dimensions

Item Length
9.5in
Item Height
1.1in
Item Width
6.1in
Item Weight
27.3 Oz

Additional Product Features

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
Topic
Group Theory, Geometry / General, Number Theory, Combinatorics, Geometry / Algebraic
Lccn
2016-008971
Dewey Decimal
516.35
Intended Audience
College Audience
Dewey Edition
23
Genre
Mathematics

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