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Complete Intersections In Toric Ideals, Eduardo Cattani, Raymond Curran, Alicia Dickenstein
Complete Intersections In Toric Ideals, Eduardo Cattani, Raymond Curran, Alicia Dickenstein
Mathematics and Statistics Department Faculty Publication Series
We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals IA such that no binomial ideal contained in IA and of the same dimension is a complete intersection. This result has important implications in sparse elimination theory and in the study of the Horn system of partial differential equations.