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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


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