Document Type

Article

Date

2-23-2004

Embargo Period

11-11-2011

Disciplines

Mathematics

Description/Abstract

We construct examples of Cinifinity smooth submanifolds in Cn and Rn of codimension 2 and 1, which intersect every complex, respectively real, analytic curve in a discrete set. The examples are realized either as compact tori or as properly imbedded Euclidean spaces, and are the graphs of quasianalytic functions. In the complex case, these submanifolds contain real n-dimensional tori or Euclidean spaces that are not pluripolar while the intersection with any complex analytic disk is polar.

Additional Information

This article is from arXiv.org, for more information see http://arxiv.org/abs/math/0402379

Source

Harvested from arXiv.org

Creative Commons License

Creative Commons Attribution 3.0 License
This work is licensed under a Creative Commons Attribution 3.0 License.

Included in

Mathematics Commons

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