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.
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
Date of Award
January 2015
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
First Advisor
Bernd Ulrich
Committee Member 1
William J. Heinzer
Committee Member 2
Giulio Caviglia
Committee Member 3
Edray Goins
COinS