Analyticity and Singularity Sets

Author: Andreano F.  

Publisher: Taylor & Francis Ltd

ISSN: 0278-1077

Source: Complex Variables, Vol.47, Iss.11, 2002-01, pp. : 981-1001

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Abstract

The problem of approximating singularity sets by analytic varieties has been considered by several authors. The present work deals with singularity sets projecting over a finitely connected domain. The results obtained in these cases allow us to prove the existence of a Riemann surface in a neighborhood of a two-sheeted singularity set.