This is the second part of our three-part study titled “A few examples of local rings.” In the first part, we collected the basic tools and well-known important examples. But, since almost all special formal fibers of the examples there have extremely good properties, their derived normal rings are always Noetherian and analytically unramified. In this paper, we develop the basic ideas of the first part and get a somewhat improved method, which gives factorial local domains whose completion can be almost any complete local rings.
"A few examples of local rings, II." Kyoto J. Math. 56 (1) 49 - 96, April 2016. https://doi.org/10.1215/21562261-3445156