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The trivial locus of an analytic map germ

H. Hauser;  G. Muller — 1989

Annales de l'institut Fourier

We prove: For a local analytic family { X s } s ∈ 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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