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Buildings and Schubert Schemes by Carlos Contou-Carrere
Requirements: .PDF Reader | 7.5 MB
Overview: 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.
Genre: Non Fiction Science & Math > Mathematics > Geometry & Topology > Algebraic Geometry
Download Instructions:
http://katfile.com/vg4c8i8a8p2s/Buildings_and_Schubert_Schemes.pdf.html
(Closed Filehost) https://ul.to/f3mgqzhs
Requirements: .PDF Reader | 7.5 MB
Overview: 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.
Genre: Non Fiction Science & Math > Mathematics > Geometry & Topology > Algebraic Geometry
Download Instructions:
http://katfile.com/vg4c8i8a8p2s/Buildings_and_Schubert_Schemes.pdf.html
(Closed Filehost) https://ul.to/f3mgqzhs