The Mergelyan-Bishop theorem in the case of mapping into homogeneous manifolds. II. Proof of the theorem and application.
T. Dietmair (1993)
Mathematische Annalen
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T. Dietmair (1993)
Mathematische Annalen
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G. Schumacher, A.T. Huckleberry (1979/80)
Manuscripta mathematica
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Alan T. Huckleberry, Ellen Ormsby (1978/79)
Manuscripta mathematica
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Guan, Daniel (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Federico Sánchez-Bringas (1993)
Publicacions Matemàtiques
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Let Γ be a finite subgroup of GL(n, C). This subgroup acts on the space of germs of holomorphic vector fields vanishing at the origin in C and on the group of germs of holomorphic diffeomorphisms of (C, 0). We prove a theorem of invariant conjugacy to a normal form and linearization for the subspace of invariant germs of holomorphic vector fields and we give a description of this type of normal forms in dimension n = 2.
Jörg Winkelmann (1990)
Mathematische Annalen
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Eric Bedford (1983)
Mathematische Annalen
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Vargas, J.A. (2002)
Rendiconti del Seminario Matematico
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Franc Forstnerič (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert’s classification of principal holomorphic fiber bundles over Stein spaces. Modern Oka theory concerns holomorphic maps from Stein manifolds and Stein spaces to Oka manifolds. It has emerged as a subfield of complex geometry in its own right since the appearance of a seminal paper of M. Gromov in 1989. In this expository paper we discuss Oka manifolds and Oka maps. We describe equivalent...
O. Muskarov (1986)
Mathematische Zeitschrift
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Christoph Gellhaus, Tilmann Wurzbacher (1992)
Mathematische Zeitschrift
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Faraut, J., Thomas, E.G.F. (1999)
Journal of Lie Theory
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Sorin Dumitrescu, Benjamin McKay (2016)
Complex Manifolds
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We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension. In higher dimension, we prove it for G nilpotent. We also prove that for any given complex algebraic homogeneous space (X, G), the translation invariant (X, G)-structures on tori form a union of connected components in the deformation space of (X, G)-structures. ...