Rees algebras of linearly presented ideals

Lan Phu Hoang Nguyen, Purdue University

Abstract

Let R=k[x1,...,xd] be a polynomial ring and I a height two perfect ideal with a linear presentation matrix. With some additional conditions, either on the dimension d or on the ideal I, we can determine the defining ideal of the Rees algebra R(I) of the ideal I explicitly and we can also show that R(I) is Cohen-Macaulay.

Degree

Ph.D.

Advisors

ULRICH, Purdue University.

Subject Area

Mathematics

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