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On normal forms of singular Levi-flat real analytic hypersurfaces
被引：0
作者：
Arturo Fernández-Pérez
机构：
[1] IMPA,Instituto de Matemática Pura e Aplicada
来源：
Bulletin of the Brazilian Mathematical Society, New Series
|
2011年
/
42卷
关键词：
Levi-flat hypersurfaces;
holomorphic foliations;
32V40;
37F75;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let F(z) = Re(P(z)) + h.o.t be such that M = (F = 0) defines a germ of real analytic Levi-flat at 0 ∈ ℂn, n ≥ 2, where P (z) is a homogeneous polynomial of degree k with an isolated singularity at 0 ∈ ℂn and Milnor number µ. We prove that there exists a holomorphic change of coordinate ϕ such that ϕ(M) = (Re(h) = 0), where h(z) is a polynomial of degree µ + 1 and j0k (h) = P.
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页码：75 / 85
页数：10
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