Generic Tropical Varieties
Commutative Algebra
2021-05-18 v2 Algebraic Geometry
Abstract
We show that in the constant coefficient case the generic tropical variety of a graded ideal exists. This can be seen as the analogon to the existence of the generic initial ideal in Groebner basis theory. We determine the generic tropical variety as a set in general and as a fan for principal ideals and linear ideals.
Keywords
Cite
@article{arxiv.0904.0120,
title = {Generic Tropical Varieties},
author = {Tim Roemer and Kirsten Schmitz},
journal= {arXiv preprint arXiv:0904.0120},
year = {2021}
}
Comments
15 pages; corrected version