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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A differential equation theoretic interpretation of a geometric result of Hartogs


Author: Takahiro Kawai
Journal: Proc. Amer. Math. Soc. 98 (1986), 222-224
MSC: Primary 32D99
MathSciNet review: 854023
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Abstract: A result of Hartogs on the location of singularities of holomorphic functions can be neatly proved by the theory of overdetermined systems of linear differential equations.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0854023-1
PII: S 0002-9939(1986)0854023-1
Keywords: Removable singularities, domain of holomorphy, system of linear differential equations, characteristic variety, characteristic
Article copyright: © Copyright 1986 American Mathematical Society