Complete intersections in toric ideals-Reference-Cited by-同舟云学术

Complete intersections in toric ideals

Published:2006-08-01 Issue:2 Volume:135 Page:329-335
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cattani Eduardo,Curran Raymond,Dickenstein Alicia

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-02/S0002-9939-06-08513-3/S0002-9939-06-08513-3.pdf

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