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|Title:||Degenerate hypersurfaces with a two-parametric family of automorphisms||Contributor(s):||Ezhov, Vladimir (author); Kolář, Martin (author); Schmalz, Gerd (author)||Publication Date:||2009||DOI:||10.1080/17476930902760443||Handle Link:||https://hdl.handle.net/1959.11/3945||Abstract:||We give a complete classification of Levi-degenerate hypersurfaces of finite type in ℂ² with two-dimensional symmetry groups. Our analysis is based on the classification of two-dimensional Lie algebras and an explicit description of isotropy groups for such hypersurfaces, which follows from the construction of Chern–Moser type normal forms at points of finite type, developed in [M. Kolář, 'Normal forms for hypersurfaces of finite type in ℂ²', Math. Res. Lett. 12 (2005), pp. 897–910].||Publication Type:||Journal Article||Source of Publication:||Complex Variables and Elliptic Equations, 54(3-4), p. 283-291||Publisher:||Taylor & Francis||Place of Publication:||Abingdon, UK||ISSN:||1747-6933||Field of Research (FOR):||010111 Real and Complex Functions (incl Several Variables)||Socio-Economic Objective (SEO):||970101 Expanding Knowledge in the Mathematical Sciences||Peer Reviewed:||Yes||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Statistics to Oct 2018:||Visitors: 425
|Appears in Collections:||Journal Article|
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