|
|||||
|
|
Complete intersections in toric ideals |
|
| Authors: | Eduardo Cattani Raymond Curran Alicia Dickenstein |
| Institution: | Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003 ; Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003 ; Departamento de Matematica, FCEyN, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina |
| 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. |
| Keywords: | |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |