Non-existence of proper holomorphic maps between certain complex manifolds.
Alan T. Huckleberry, Ellen Ormsby (1978/79)
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Alan T. Huckleberry, Ellen Ormsby (1978/79)
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Viorel Vajaitu (1994)
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J.E. Fornaess, K. Diederich (1981)
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Neill Robertson (1992)
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Viorel Vajaitu (1996)
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Erik Low (1983)
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M. Nikić (1986)
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O. Muskarov (1986)
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Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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Peter Pflug (2003)
Annales Polonici Mathematici
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This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.
Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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M. Nikić (1988)
Matematički Vesnik
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Masahide Kato, Noboru Okada (2004)
Annales de l’institut Fourier
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We study the extension problem of holomorphic maps of a Hartogs domain with values in a complex manifold . For compact Kähler manifolds as well as various non-Kähler manifolds, the maximal domain of extension for over is contained in a subdomain of . For such manifolds, we define, in this paper, an invariant Hex using the Hausdorff dimensions of the singular sets of ’s and study its properties to deduce informations on the complex structure of .