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Buildings and Schubert Schemes.
・ISBN 978-1-4987-6829-0 2016 hard GB£ 210.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-315-36730-9
| 著者・編者 | Contou-Carrere, Carlos, |
|---|---|
| 出版社 | (CRC Press Inc, US) |
| ページ数 | 462 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12072 M25-1646＞ |
解説
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.