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Cohomology of regular embeddings. (English) Zbl 0743.14018
For algebraic symmetric spaces a good theory of embeddings has been developed by the last two authors having in mind applications to classical enumerative geometry. Here we compute the cohomology by first computing equivariant cohomology.
The results generalize both the theory of toric varieties and that of the flag varieties.
Reviewer: C.Procesi

MSC:
14F25 Classical real and complex (co)homology in algebraic geometry
14E25 Embeddings in algebraic geometry
14M17 Homogeneous spaces and generalizations
14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14M15 Grassmannians, Schubert varieties, flag manifolds
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