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

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.

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.
Related projects:	Algebraické metody v geometrii s potenciálem k aplikacím