Title: | Some special cases of Chow groups of complete ramified regular local rings |
Author(s): | Lee, Si-Chang |
Doctoral Committee Chair(s): | Griffith, Phillip A. |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Mathematics |
Abstract: | In this thesis we study some special cases of Chow groups of a ramified complete regular local ring R of dimension n. We prove that (a) for codimension 3 Gorenstein ideal I, (I) = 0 in $A\sb{n-3}(R)$ and (b) for a particular class of almost complete intersection prime ideals P of height i, (P) = 0 in $A\sb{n-i}(R).$ We also study the above problem when the Eisenstein polynomial is of the form $f = p + X\sbsp{1}{t\sb1} + X\sbsp{2}{t\sb2} + X\sbsp{3}{t\sb3} + X\sbsp{4}{2} + X\sbsp{5}{2}$ and $f = p + X\sbsp{1}{2} + \cdots + X\sbsp{n-2}{2} + X\sbsp{n-1}{4} + X\sbsp{n}{4}.$ Several other cases of the problem are also established. |
Issue Date: | 1995 |
Type: | Text |
Language: | English |
URI: | http://hdl.handle.net/2142/19736 |
Rights Information: | Copyright 1995 Lee, Si-Chang |
Date Available in IDEALS: | 2011-05-07 |
Identifier in Online Catalog: | AAI9624411 |
OCLC Identifier: | (UMI)AAI9624411 |