Extensions of holomorphic maps

Kiernan, Peter

doi:10.1090/S0002-9947-1972-0318519-8

Extensions of holomorphic maps
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by Peter Kiernan

Trans. Amer. Math. Soc. 172 (1972), 347-355

DOI: https://doi.org/10.1090/S0002-9947-1972-0318519-8

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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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