Journal article

The Hartogs Extension Theorem on (n-1)-Complete Complex Spaces

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Publication Details

Author list: Porten, Egmont

Publisher: s

Publication year: 2009

Start page: 23

End page: 29

Number of pages: 7

ISSN: 0075-4102

DOI: http://dx.doi.org/10.1515/CRELLE.2009.088

URL: http://arxiv.org/abs/0704.3216

View additional information: View in Web of Science


Abstract

Employing Morse theory and the method of analytic discs but no @ techniques, we establish a version of the Hartogs extension theorem in a singular setting, namely: for every domain of an (n - 1)- complete normal complex space of pure dimension n > 2, and for every compact set K ? such that \K is connected, holomorphic or meromorphic functions in \K extend holomorphically or meromorphically to


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