Semilocal Generic Formal Fibers
Commutative Algebra
2007-05-23 v1
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.
Cite
@article{arxiv.math/0310344,
title = {Semilocal Generic Formal Fibers},
author = {P. Charters and S. Loepp},
journal= {arXiv preprint arXiv:math/0310344},
year = {2007}
}
Comments
15 pages