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Buildings and Schubert Schemes by Carlos Contou-Carrere

Buildings and Schubert Schemes

by Carlos Contou-Carrere
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Book cover type: Paperback
  • ISBN13: 9780367782665
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Taylor & Francis
  • Publisher Imprint: CRC Press
  • Publication Date:
  • Pages: 462
  • Original Price: GBP 50.99
  • Language: English
  • Edition: N/A
  • Item Weight: 860 grams
  • BISAC Subject(s): Geometry / Algebraic, Number Theory, and Combinatorics

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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