Work

On normal forms for Levi-flat hypersurfaces with an isolated line singularity

Year: 2014

Type: article

Abstract: We prove the existence of normal forms for some local real-analytic Levi-flat hypersurfaces with an isolated line singularity. We also give sufficient conditions for a Levi-flat hypersurface with a complex line as singularity to be a pullback of a real-analytic curve in $\mathbb{C}$ via a holomorphic function.

Source: Arkiv för matematik

DOI: 10.1007/s11512-014-0198-3

Author: Arturo Fernández-Pérez

Institution: Universidade Federal de Minas Gerais

Language: Swedish

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Amparo à Pesquisa do Estado de Minas Gerais, Universidade Federal de Minas Gerais

OpenAlex ID: W2002378013

FWCI:

Cites: 10

Cited by: 2

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