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Complete Intersections in Toric Ideals
Mathematics and Statistics Department Faculty Publication Series
  • Eduardo Cattani
  • Raymond Curran
  • Alicia Dickenstein
Publication Date
2005
Abstract

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.

Disciplines
Comments
This paper was harvested from ArXiv.org and ArXiv identifier is arXiv:0508400v1
Citation Information
Eduardo Cattani, Raymond Curran and Alicia Dickenstein. "Complete Intersections in Toric Ideals" (2005)
Available at: http://works.bepress.com/eduardo_cattani/28/