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(Ebook) Buildings and Schubert schemes by Contou-Carrere, Carlos Enrique ISBN 9781498768290, 9781498768313, 1498768296, 1498768318

  • SKU: EBN-5837168
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4.8

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Instant download (eBook) Buildings and Schubert schemes after payment.
Authors:Contou-Carrere, Carlos Enrique
Pages:462 pages.
Year:2017
Editon:1
Publisher:CRC Press
Language:english
File Size:7.47 MB
Format:pdf
ISBNS:9781498768290, 9781498768313, 1498768296, 1498768318
Categories: Ebooks

Product desciption

(Ebook) Buildings and Schubert schemes by Contou-Carrere, Carlos Enrique ISBN 9781498768290, 9781498768313, 1498768296, 1498768318

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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