Abstract
Let (T,M) be a complete regular local ring of dimension at least 2, containing the rationals, such that the cardinality of the residue fieldT/Mis at least the cardinality of the real numbers. Supposep≠Mis a prime ideal ofT. We construct an excellent regular local ringAsuch that the completion ofAisTand the generic formal fiber ofAis local (this means that the ringT⊗AKis a local ring whereKis the quotient field ofA) withp⊗AKits maximal ideal. In addition, ifqis a prime ideal ofTwithq∩A=P≠(0), thenq=PT.
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