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arXiv · 0705.0507

Strong Stein neighborhood bases

Sonmez Sahutoglu
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Abstract

Let D be a smooth bounded pseudoconvex domain in C^n. We give several characterizations for the closure of D to have a strong Stein neighborhood basis in the sense that D has a defining function r such that {z\in C^n:r(z) 0. We also show that this condition is invariant under proper holomorphic maps that extend smoothly to the boundary.

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Sonmez Sahutoglu. 2007-05-03. Strong Stein neighborhood bases. https://doi.org/10.1080/17476933.2010.534785

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