The trivial locus of an analytic map germ (Q1124013)
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scientific article; zbMATH DE number 4111047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The trivial locus of an analytic map germ |
scientific article; zbMATH DE number 4111047 |
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The trivial locus of an analytic map germ (English)
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1989
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We prove: For a local analytic family \(\{X_ s\}_{s\in S}\) of analytic space germs there is a largest subspace T in S such that the family is trivial over T. Moreover the reduction of T equals the germ of those points s in S for which \(X_ s\) is isomorphic to the special fibre \(X_ 0\).
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morphisms of analytic space germs
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cartesian products
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deformations
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