Prime Saturations and Rees Algebras of Almost Linearly Presented Ideals

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.

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Year

2015

Author dc:creator

• Boswell, Jacob

Contributors dc:contributor

• Bernd Ulrich
• William J. Heinzer
• Giulio Caviglia
• Edray Goins

• linearly presented
• Rees algebras
• saturation

Repository record dc:identifier

https://docs.lib.purdue.edu/open_access_dissertations/1338

OAI identifier oai:identifier

oai:docs.lib.purdue.edu:open_access_dissertations-2554