On removable singularities of meromorphic correspondences
Rasul Shafikov, Kaushal Verma
TL;DR
This paper establishes a sufficient condition under which a meromorphic correspondence becomes holomorphic near a smooth real hypersurface, contributing to the understanding of singularities in complex analysis.
Contribution
It provides a new criterion for removing singularities of meromorphic correspondences in the vicinity of smooth real hypersurfaces.
Findings
Meromorphic correspondences can be holomorphic near smooth real hypersurfaces under certain conditions.
The paper introduces a sufficient condition for the removability of singularities.
Results enhance the understanding of the local behavior of meromorphic correspondences.
Abstract
We give a sufficient condition for a meromorphic correspondence to be a holomorphic correspondence in a neighbourhood of a smooth real hypersurface
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Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Advanced Algebra and Geometry