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Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces

2018
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Proceedings of the American Mathematical Society
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We prove that all locally exposable points in a Stein compact in a complex space can be exposed along a given curve to a given real hypersurface. Moreover, the exposing map for a boundary point can be sufficiently close to the identity map outside any fixed neighborhood of the point. We also prove a parametric version of this result for bounded strongly pseudoconvex domains in C n . For a bounded strongly pseudoconvex domain in C n and a given boundary point of it, we prove that there is a

doi:10.1090/proc/13693
fatcat:7pwj4ty3wjgyxprwdwyvwozb4i