The Zero Locus of Symmetric Polynomials
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Authors
Topping, Heather
Date
Type
thesis
Language
eng
Keyword
regular sequences , symmetric polynomials , homogeneous polynomials , power sums , complete symmetric polynomials
Alternative Title
Abstract
Homogeneous polynomials $f_1, f_2, \dots, f_n$ form a regular sequence in the polynomial ring $\mathbb{C}[x_1, x_2, \dots, x_n]$ when the reduced affine variety of these polynomials only contains the origin. In this report, we will be particularly interested in regular sequences of power sum symmetric polynomials and complete symmetric polynomials in three variables. As a result of this investigation, we are able to obtain a better understanding of when regular sequences of these polynomials occur.
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License
Attribution 3.0 United States
Queen's University's Thesis/Dissertation Non-Exclusive License for Deposit to QSpace and Library and Archives Canada
ProQuest PhD and Master's Theses International Dissemination Agreement
Intellectual Property Guidelines at Queen's University
Copying and Preserving Your Thesis
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.
Queen's University's Thesis/Dissertation Non-Exclusive License for Deposit to QSpace and Library and Archives Canada
ProQuest PhD and Master's Theses International Dissemination Agreement
Intellectual Property Guidelines at Queen's University
Copying and Preserving Your Thesis
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.