Strong Stein neighborhood bases
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)<a} is pseudoconvex for sufficiently small a>0. We also show that this condition is invariant under proper holomorphic maps that extend smoothly to the boundary.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2007
- DOI:
- 10.48550/arXiv.0705.0507
- arXiv:
- arXiv:0705.0507
- Bibcode:
- 2007arXiv0705.0507S
- Keywords:
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- Mathematics - Complex Variables;
- 32W05
- E-Print:
- 14 pages, fixed same references, to appear in Complex Var. Elliptic Equ