The trivial locus of an analytic map germ
Hauser, H. ; Muller, G.
Annales de l'Institut Fourier, Tome 39 (1989), p. 831-844 / Harvested from Numdam
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On prouve : Toute famille locale analytique {X s } s∈S de germes d’espaces analytiques admet un plus grand sous-espace T de S au-dessus duquel elle soit triviale. En plus, la réduction de T est égale au germe des points s de S tels que X, soit isomorphe à la fibre spéciale X 0 .

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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     author = {Hauser, H. and Muller, G.},
     title = {The trivial locus of an analytic map germ},
     journal = {Annales de l'Institut Fourier},
     volume = {39},
     year = {1989},
     pages = {831-844},
     doi = {10.5802/aif.1191},
     mrnumber = {91m:32035},
     zbl = {0678.32013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1989__39_4_831_0}
}

Hauser, H.; Muller, G. The trivial locus of an analytic map germ. Annales de l'Institut Fourier, Tome 39 (1989) pp. 831-844. doi : 10.5802/aif.1191. http://gdmltest.u-ga.fr/item/AIF_1989__39_4_831_0/

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