Title

On the Hartogs-Bochner Phenomenon for CR Functions in P2(ℂ)

Abstract

Let be a compact, connected, -smooth and globally minimal hypersurface in which divides the projective space into two connected parts and . We prove that there exists a side, or , such that every continuous CR function on extends holomorphically to this side. Our proof of this theorem is a simplification of a result originally due to F. Sarkis.

Department(s)

Mathematics and Statistics

Keywords and Phrases

smooth hypersurfaces of the complex projective space; holomorphic extension of CR functions; jump formula; global minimality; one-sided neighborhood

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 American Mathematical Society, All rights reserved.

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