Logarithmic deformations of holomorphic maps and equisingular displacements of surfaces with ordinary singularities (Q800537)

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scientific article; zbMATH DE number 3875679
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Logarithmic deformations of holomorphic maps and equisingular displacements of surfaces with ordinary singularities
scientific article; zbMATH DE number 3875679

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    Logarithmic deformations of holomorphic maps and equisingular displacements of surfaces with ordinary singularities (English)
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    1982
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    This paper deals with some special problems in deformation theory. First logarithmic deformations of holomorphic maps from one compact complex manifold into another are considered [cf. \textit{Y. Kawamata}, Math. Ann. 235, 247-265 (1978; Zbl 0363.32015)] and the existence of a universal family is proved (under certain circumstances). - As an application the existence of a universal family of ''equisingular displacements of surfaces with ordinary singularities'' is established once more [formerly proved by \textit{M. Namba} (Thesis, Columbia)].
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    surfaces with ordinary singularities
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    universal deformation
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    logarithmic deformations of holomorphic maps
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    equisingular displacements of surfaces
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