Initial forms and a notion of basis for tropical differential equations
Algebraic Geometry
2022-08-31 v1
Abstract
We show that solution sets of systems of tropical differential equations can be characterised in terms of monomial-freeness of an initial ideal. We discuss a candidate definition of tropical differential basis and give a nonexistence result for such bases in an example.
Cite
@article{arxiv.2004.08258,
title = {Initial forms and a notion of basis for tropical differential equations},
author = {Alex Fink and Zeinab Toghani},
journal= {arXiv preprint arXiv:2004.08258},
year = {2022}
}
Comments
16 pages