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Buildings and Schubert Schemes by Carlos Contou-Carrere
Buildings and Schubert Schemes by Carlos Contou-Carrere
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Buildings and Schubert Schemes

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Description

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.
Release date NZ
March 31st, 2021
Audiences
  • General (US: Trade)
  • Tertiary Education (US: College)
Pages
462
ISBN-13
9780367782665
Product ID
34403142

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