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Deformationen von Keimen eigentlicher, holomorpher Abbildungen

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Abstract

Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption.

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  1. Mathematisches Institut der Universität, Einsteinstr.64, D4400, Münster

    Georg Schumacher

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  1. Georg Schumacher
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Schumacher, G. Deformationen von Keimen eigentlicher, holomorpher Abbildungen. Manuscripta Math 39, 39–47 (1982). https://doi.org/10.1007/BF01312444

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  • DOI: https://doi.org/10.1007/BF01312444

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