Holomorphic Equivalence and Nonlinear Symmetries of Ruled Hypersurfaces in C2

被引：0

作者：

Kolar, Martin ^{[1
]}

Lamel, Bernhard ^{[2
]}

机构：

[1] Masaryk Univ, Dept Math & Stat, Brno, Czech Republic

[2] Univ Vienna, Fac Math, Vienna, Austria

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2015年 / 25卷 / 02期

关键词：

Infinite type; Ruled hypersurfaces; Local equivalence problem; Normal forms; Nonlinear automorphisms;

D O I：

10.1007/s12220-013-9465-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1240 / 1281

页数：42

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