CR singularities of real threefolds in ℂ4-Reference-Cited by-同舟云学术

CR singularities of real threefolds in ℂ4

Published:2006-01-26 Issue:1 Volume:6 Page:109-137
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Coffman Adam¹

Affiliation:

1. Department of Mathematical Sciences, Indiana University—Purdue University Fort Wayne, Fort Wayne, IN 46805-1499.

Abstract

Abstract CR singularities of real threefolds in ℂ4 are classified by using holomorphic coordinate changes to transform the quadratic part of the real defining equations into one of a list of normal forms. In the non-degenerate case, it is shown that a real analytic manifold near a CR singular point is formally equivalent to a real algebraic model. Some degenerate cases also have this property.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/ADVGEOM.2006.008/pdf

Reference8 articles.

1. Нормальная форма ростка четырехмерного вещественного многообразия в $\mathbb C^5$ в $\mathbb{RC}$-особой точке общего положения

2. Differentiable manifolds in complex Euclidean space

3. Geometry near a C.R. singularity

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Normal forms and degenerate CR singularities;Complex Variables and Elliptic Equations;2016-04-12

2. A normal form for a real 2-codimensional submanifold inCN+1near a CR singularity;Advances in Mathematics;2013-08

3. Unfolding CR Singularities;Memoirs of the American Mathematical Society;2010

4. Analytic stability of the CR cross-cap;Pacific Journal of Mathematics;2006-08-01