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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Extensions of holomorphic maps

Author: Peter Kiernan
Journal: Trans. Amer. Math. Soc. 172 (1972), 347-355
MSC: Primary 32H25
MathSciNet review: 0318519
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Abstract: Several generalizations of the big Picard theorem are obtained. We consider holomorphic maps $ f$ from $ X - A$ into $ M \subset Y$. Under various assumptions on $ X,A$, and $ M$ we show that $ f$ can be extended to a holomorphic or meromorphic map of $ X$ into $ Y$.

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PII: S 0002-9947(1972)0318519-8
Keywords: Big Picard theorem, hyperbolic, Kobayashi pseudo-distance, Satake compactification, symmetric bounded domain
Article copyright: © Copyright 1972 American Mathematical Society