Off-campus UMass Amherst users: To download dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.

Non-UMass Amherst users, please click the view more button below to purchase a copy of this dissertation from Proquest.

(Some titles may also be available free of charge in our Open Access Dissertation Collection, so please check there first.)

Toric ideals and discriminants in codimensions greater than two

Raymond P Curran, University of Massachusetts Amherst


In this dissertation we investigate discriminants and toric ideals in codimensions greater than two. We show that for sufficiently large dimensions, there are toric ideals that do not contain complete intersections, in any codimension. We then prove a specialization theorem for the A-discriminant, and use this to classify dual defect toric varieties in codimensions 3 and 4.

Subject Area


Recommended Citation

Curran, Raymond P, "Toric ideals and discriminants in codimensions greater than two" (2005). Doctoral Dissertations Available from Proquest. AAI3179868.