Equivariant completions of homogenous algebraic varieties by homogenous divisors |
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Authors: | Dmitry Ahiezer |
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Institution: | 1. USSR, B.Spasskaja ul. 33 kv. 33, 129010, Moscow
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Abstract: | Complete smooth complex algebraic varieties with an almost transitive action of a linear algebraic group are studied. They are classified in the case, when the complement of the open orbit is a homogeneous hypersurface. If the group and the isotropy subgroup at a generic point are both reductive, then there exists a natural one-to-one correspondence between these two-orbit varieties and compact riemannian symmetric spaces of rank one. |
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