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On the Analyticity of Certain Singularity Sets
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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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