The sphere in C2 as a model surface for degenerate hypersurfaces in C3

被引:0
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作者
V. K. Beloshapka
I. G. Kossovskii
机构
[1] Lomonosov Moscow State University,Department of Mechanics and Mathematics
[2] University of Vienna,Faculty of Mathematics
关键词
Model Surface; Automorphism Group; Light Cone; Complex Parameter; Real Hypersurface;
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学科分类号
摘要
In the paper, an unexpected correspondence between the automorphisms of 5D real uniformly 2-nondegenerate hypersurfaces of the space C3 and the automorphisms of the 3D hypersphere in C2 is constructed. In a certain sense, the 3D hypersphere, which is, as is known, a model surface for the class of nondegenerate 3D hypersurfaces in C2, has this status also with respect to the above class of 5D hypersurfaces in C3.
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页码:437 / 443
页数:6
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