University of Illinois Urbana-Champaign

Some special cases of Chow groups of complete ramified regular local rings

Lee, Si-Chang

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Description

Title
Some special cases of Chow groups of complete ramified regular local rings
Author(s)
Lee, Si-Chang
Issue Date
1995
Doctoral Committee Chair(s)
Griffith, Phillip A.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
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.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/19736
Copyright and License Information
Copyright 1995 Lee, Si-Chang

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