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Article
Complete intersections in toric ideals
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • E Cattani, University of Massachusetts - Amherst
  • R Curran
  • A Dickenstein
Publication Date
2007
Abstract

We present examples that show that in dimension higher than one or codimension higher than two, there exist toric ideals such that no binomial ideal contained in 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.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.ams.org/journals/proc/2007-135-02/S0002-9939-06-08513-3/home.html

Pages
329-335
Citation Information
E Cattani, R Curran and A Dickenstein. "Complete intersections in toric ideals" PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 135 Iss. 2 (2007)
Available at: http://works.bepress.com/eduardo_cattani/24/