The Hartogs extension theorem on (n – 1)-complete complex spaces

DOI10.1515/CRELLE.2009.088zbMath1185.32001arXiv0704.3216OpenAlexW2964255179MaRDI QIDQ3404368

Joël Merker, Egmont Porten

Publication date: 9 February 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3216

zbMATH Keywords

holomorphic extensionHartogs extensionmeromorphic extension\((n -1)\)-complete complex spacesglobal control of monodromyLevi-Hartogs fi\-gu\-resMorse-theoretical framenonnormal complex spacesnormal singular complex spacespseudoconcave boundaries

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces (32-06)

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Cites Work

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• Monge-Ampère currents over pseudoconcave spaces
• The boundary problem in \(q\)-convex manifolds and the Hartogs-Bochner phenomenon