Holomorphic Equivalence and Nonlinear Symmetries of Ruled Hypersurfaces in C-2

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Authors	KOLÁŘ Martin LAMEL Bernhard
Year of publication	2015
Type	Article in Periodical
Magazine / Source	JOURNAL OF GEOMETRIC ANALYSIS
MU Faculty or unit	Faculty of Science
Citation
Doi	https://doi.org/10.1007/s12220-013-9465-y
Field	General mathematics
Keywords	Infinite type; Ruled hypersurfaces; Local equivalence problem; Normal forms; Nonlinear automorphisms
Description	We solve the local equivalence problem for ruled hypersurfaces in C-2 at a point of infinite type by giving a normal form. We describe all ruled hypersurfaces which admit nonlinear symmetries and give their complete characterization according to the dimension of their automorphism group. As an application, we give a bound for the dimension of the stability group for a family of nonminimal hypersurfaces.
Related projects:	Algebraické metody v geometrii s potenciálem k aplikacím