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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Buildings and Schubert Schemes (Hardcover)
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Buildings and Schubert Schemes (Hardcover)
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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 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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