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