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This article is cited in 82 scientific papers (total in 84 papers)
On a class of quasihomogeneous affine varieties
È. B. Vinberg, V. L. Popov
Abstract:
We give a classification of irreducible affine algebraic varieties which are quasihomogeneous with respect to a regular action by a connected linear group of automorphisms and are such that the isotropy subgroup of a point in general position contains a maximal unipotent subgroup of the group of transformations. We find criteria for the normality and factoriality of such varieties. We compute the divisor class group and give a complete description of the orbits in such varieties.
Received: 18.10.1971
Citation:
È. B. Vinberg, V. L. Popov, “On a class of quasihomogeneous affine varieties”, Izv. Akad. Nauk SSSR Ser. Mat., 36:4 (1972), 749–764; Math. USSR-Izv., 6:4 (1972), 743–758
Linking options:
https://www.mathnet.ru/eng/im2332https://doi.org/10.1070/IM1972v006n04ABEH001898 https://www.mathnet.ru/eng/im/v36/i4/p749
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Abstract page: | 848 | Russian version PDF: | 305 | English version PDF: | 11 | References: | 51 | First page: | 3 |
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