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 http://dx.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.
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