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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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