Open Access
April 2016 A few examples of local rings, II
Jun-ichi Nishimura
Kyoto J. Math. 56(1): 49-96 (April 2016). DOI: 10.1215/21562261-3445156

Abstract

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.

Citation

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Jun-ichi Nishimura. "A few examples of local rings, II." Kyoto J. Math. 56 (1) 49 - 96, April 2016. https://doi.org/10.1215/21562261-3445156

Information

Received: 23 October 2009; Revised: 22 October 2012; Accepted: 15 December 2014; Published: April 2016
First available in Project Euclid: 15 March 2016

zbMATH: 1342.13034
MathSciNet: MR3479318
Digital Object Identifier: 10.1215/21562261-3445156

Subjects:
Primary: 13E05 , 13H05 , 13H10
Secondary: 13C15 , 13C40 , 13G05

Keywords: factorial domain , Heitmann numbering , local ring , Rotthaus–Ogoma construction

Rights: Copyright © 2016 Kyoto University

Vol.56 • No. 1 • April 2016
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