Date of Award
January 2015
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
First Advisor
Bernd Ulrich
Committee Member 1
William J. Heinzer
Committee Member 2
Giulio Caviglia
Committee Member 3
Edray Goins
Abstract
Let I be a height two perfect ideal in the polynomial ring k[x1, ..., xd] satisfying the Gd condition. Suppose I admits a homogeneous presentation matrix composed of linear columns except for one column of degree n. In this setting, we give two descriptions of the ideal A defining the Rees algebra Rees(I) and if in addition I is generated by d+1 elements, we give an explicit generating set for A.
Recommended Citation
Boswell, Jacob, "Prime Saturations and Rees Algebras of Almost Linearly Presented Ideals" (2015). Open Access Dissertations. 1338.
https://docs.lib.purdue.edu/open_access_dissertations/1338
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