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.
Identifier / keyword
Pure sciences, Codimensions, Discriminants, Toric ideals
Toric ideals and discriminants in codimensions greater than two
Curran, Raymond P.
DAI-B 66/06, Dissertation Abstracts International
Place of publication
Country of publication
University of Massachusetts Amherst
United States -- Massachusetts
Dissertations & Theses
ProQuest document ID
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.