The extension of regular holomorphic maps
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- by H. L. Royden PDF
- Proc. Amer. Math. Soc. 43 (1974), 306-310 Request permission
Abstract:
Let $f$ be a holomorphic map of a $k$-dimensional polydisk in ${C^n}$ into an $n$-dimensional complex manifold $M$ which is regular at the origin. It is shown that $f$ can be extended to a neighborhood in ${C^n}$ of a slightly smaller polydisk so that the extension is also regular. If $f$ is an embedding or immersion, then the extension may also be taken to be an embedding or immersion.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 306-310
- MSC: Primary 32D99; Secondary 32H15
- DOI: https://doi.org/10.1090/S0002-9939-1974-0335851-X
- MathSciNet review: 0335851