Department of Mathematics and Statistics, Williams College, Williamstown, Massachusetts 01267 ; Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Abstract:
Let be a complete local domain containing the integers with maximal ideal such that is at least the cardinality of the real numbers. Let be a nonmaximal prime ideal of such that is a regular local ring. We construct an excellent local ring such that the completion of is , the generic formal fiber of is local with maximal ideal and if is a nonzero ideal of , then is complete.