Geometry near a C.R. singularity

dc.creator	Harris, Gary A. (TTU)
dc.date.accessioned	2023-09-14T16:54:08Z
dc.date.available	2023-09-14T16:54:08Z
dc.date.issued	1981
dc.description	implied-oa
dc.description.abstract	This paper is concerned with the local geometry of a real-analytic submanifold of C in the vicinity of a C.R. singular point. The concept of local generic embeddability near a C.R. singularity is introduced in Section 1. Unlike the C.R. situation, not all non-C.R, real-analytic submanifolds of C are locally generically embeddable. Hence a new concept, pseudo-generic embeddability, is developed. The section concludes with a description of generic embeddability in the context of the theory of analytic local rings. Unfortunately this description is in terms of some dimensions which are not generally computable by known methods. Therefore the emphasis of this paper is Sections 2 and 3 where a simple scheme is developed to study these concepts for two-dimensional real-analytic submanifolds of Ca.
dc.identifier.citation	Harris, G.A.. 1981. Geometry near a C.R. singularity. Illinois Journal of Mathematics, 25(1). https://doi.org/10.1215/ijm/1256047374
dc.identifier.uri	https://doi.org/10.1215/ijm/1256047374
dc.identifier.uri	https://hdl.handle.net/2346/96095
dc.language.iso	eng
dc.title	Geometry near a C.R. singularity
dc.type	Article

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