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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The converse of Cauchy's theorem for arbitrary Riemann surfaces


Author: Myron Goldstein
Journal: Proc. Amer. Math. Soc. 25 (1970), 177-178
MSC: Primary 30.45
MathSciNet review: 0257345
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Abstract: In this paper, we prove a generalization of the converse of Cauchy's theorem which is valid for arbitrary hyperbolic Riemann surfaces. The tools used are the Kuramochi compactification and the concept of generalized normal component.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0257345-9
Keywords: Normal component, quasicontinuous extension, analytic differentials, regular point, Kuramochi compactification
Article copyright: © Copyright 1970 American Mathematical Society