Buildings and Schubert Schemes

Released on by Carlos Contou-Carrere
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  • Buildings and Schubert Schemes Book Detail

  • Author : Carlos Contou-Carrere
  • Release Date : 2017-03-03
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 463
  • ISBN 13 : 1498768318
  • File Size : 12,12 MB
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Buildings and Schubert Schemes by Carlos Contou-Carrere PDF Summary

Book 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.

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Buildings and Schubert Schemes

Buildings and Schubert Schemes

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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

Approaches to Quantum Gravity

Approaches to Quantum Gravity

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Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics