2002Complex Variables Theory and Application An International JournalRequires access

Analyticity and Singularity Sets

Federica Andreano

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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.

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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.

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Available 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.

Key concepts: Singularity, Mathematics, Essential singularity, Pure mathematics, Domain (mathematical analysis), Set (abstract data type), Riemann surface, Mathematical analysis

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