Buildings and Schubert Schemes

Carlos Contou-Carrere (University of Montpellier, France)

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English

CRC Press
31 March 2021

Number theory; Geometry; Combinatorics & graph theory; Biology, life sciences

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.

By: Carlos Contou-Carrere (University of Montpellier France)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 857g
ISBN: 9780367782665
ISBN 10: 0367782669
Pages: 462
Publication Date: 31 March 2021
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

Contou-Carrere, Carlos