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Semilocal Generic Formal Fibers

P. Charters·S. Loepp
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Abstract

Let T be a complete local ring and C a finite set of incomparable prime ideals of T. We find necessary and sufficient conditions for T to be the completion of an integral domain whose generic formal fiber is semilocal with maximal ideals the elements of C. In addition, if char T = 0, we give necessary and sufficient conditions for T to be the completion of an excellent integral domain whose generic formal fiber is semilocal with maximal ideals the elements of C.

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P. Charters, S. Loepp. 2003-10-21. Semilocal Generic Formal Fibers. https://arxiv.org/abs/math/0310344

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