Lectures on the geometry of flag varieties
نویسنده
چکیده
In these notes, we present some fundamental results concerning flag varieties and their Schubert varieties. By a flag variety, we mean a complex projective algebraic variety X, homogeneous under a complex linear algebraic group. The orbits of a Borel subgroup form a stratification of X into Schubert cells. These are isomorphic to affine spaces; their closures in X are the Schubert varieties, generally singular.
منابع مشابه
Commuting Hermitian varieties and the flag geometry of PG(2, q)
A connection between commuting Hermitian varieties of PG(5, q2) and the flag geometry of PG(2, q2), q odd, is showed. In particular, we use this connection to provide a full embedding of this flag geometry in the Hermitian variety H(8, q2) of PG(8, q2). Mathematics Subject Classification (2002): 51E15, 05B25, 20G40.
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