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An interpolation theorem for proper holomorphic embeddings

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Abstract

Given a Stein manifold x of dimension n > 1, a discrete sequence \(\{a_j\}\subset X\), and a discrete sequence \(\{b_j\}\subset \mathbb{C}^{m}\) where \(m\ge N=\left[\frac{3n}{2}\right] + 1\), there exists a proper holomorphic embedding \(f\colon X\hookrightarrow \mathbb{C}^{m}\) satisfying f(a j ) = b j for every j = 1,2,...

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Correspondence to Franc Forstnerič.

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Forstnerič and Prezelj supported by grants P1-0291 and J1-6173, Republic of Slovenia.

Kutzschebauch supported by Schweizerische National fonds grant 200021-107477/1. Ivarsson supported by The Wenner-Gren Foundations.

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Forstnerič, F., Ivarsson, B., Kutzschebauch, F. et al. An interpolation theorem for proper holomorphic embeddings. Math. Ann. 338, 545–554 (2007). https://doi.org/10.1007/s00208-007-0087-1

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