Generic formal fibers of polynomial rings

We construct a noncomplete excellent regular local ring A with maximal ideal M such that the generic formal fiber ring, Âcircle times operatorAK, (where  is the M-adic completion of A and K is the quotient field of A) is local. In addition, given a small set L of prime ideals of Â[[X1,…,Xn]] (where X1,…,Xn are indeterminates) satisfying some necessary conditions, every element of L is in the generic formal fiber of A[X1,…,Xn](M,X1,…,Xn). In other words, Q∩A[X1,…,Xn]=(0) for every Qset membership, variantL.