Back to Search
Start Over
On normal forms of singular Levi-flat real analytic hypersurfaces.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Mar2011, Vol. 42 Issue 1, p75-85. 11p. - Publication Year :
- 2011
-
Abstract
- 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 ∈ ℂ, n ≥ 2, where P ( z) is a homogeneous polynomial of degree k with an isolated singularity at 0 ∈ ℂ 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 j ( h) = P. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 42
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 58606821
- Full Text :
- https://doi.org/10.1007/s00574-011-0004-9