On the Analyticity of Certain Singularity Sets

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Authors

  • Tata Institute of Fundamental Research, Colaba, Bombay 400 005 ,IN

Abstract

In this note we prove the

(1.1) Theorem. Let W be an open set in Cn+1 and A⊂W a closed subset such that

(a) there exists a function f holomorphic on W - A which is singular at every point of A,

(b) the projection mapping Cn+1 → Cn is discrete on A.

Then A is an analytic set in W.

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Published

1975-12-01

How to Cite

Simha, R. R. (1975). On the Analyticity of Certain Singularity Sets. The Journal of the Indian Mathematical Society, 39(1-4), 281–283. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/16652

 

References

HOLMANN, H., Komplexe Raume mit komplexen Transformationsgruppen, Math. Annalen 150, (1963) 327-360.

RAGHAVAN NARASIMHAN, Several Complex Variables, Chicago Lectures in Mathematics, The University of Chicago Press, Chicago and London, 1971.