Date of this Version
2007 University of Illinois
We consider injective local maps from a local domain R to a local domain S such that the generic fiber of the inclusion map R -> S is trivial, that is P R (0) for every nonzero prime ideal P of S. We present several examples of injective local maps involving power series that have or fail to have this property. For an extension R -> S having this property, we give some results on the dimension of S; in some cases we show dim S = 2 and in some cases dim S = 1.
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