Informace o publikaci

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

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KOLÁŘ Martin LAMEL Bernhard

Druh Článek v odborném periodiku
Časopis / Zdroj JOURNAL OF GEOMETRIC ANALYSIS
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
Doi http://dx.doi.org/10.1007/s12220-013-9465-y
Obor Obecná matematika
Klíčová slova Infinite type; Ruled hypersurfaces; Local equivalence problem; Normal forms; Nonlinear automorphisms
Popis 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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