The Chow rings of generalized Grassmannians

Details The Chow rings of generalized Grassmannians The Chow rings of generalized Grassmannians

2005-11-14

arxiv.org/abs/math/0511332v8

Mathematics

Algebraic Geometry

32 pages

Scientific paper

Based on the Basis theorem of Bruhat--Chevalley [C] and the formula for multiplying Schubert classes obtained in [D\QTR{group}{u}] and programed in [DZ$_{\QTR{group}{1}}$], we introduce a new method computing the Chow rings of flag varieties (resp. the integral cohomology of homogeneous spaces). The method and results of this paper have been extended in [DZ$_{3}$, DZ$_{4}$] to obtain the integral cohomology rings of all complete flag manifolds, and to construct the integral cohomologies of Lie groups in terms of Schubert classes.

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