| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4596770 | Journal of Pure and Applied Algebra | 2012 | 9 Pages |
Abstract
We show that in the constant coefficient case the generic tropical variety of a graded ideal exists. This can be seen as an analogue to the existence of the generic initial ideal in Gröbner basis theory. We determine the generic tropical variety as a set in general and as a fan for principal ideals and linear ideals.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
