English

The degree of a tropical basis

Commutative Algebra 2019-10-10 v1 Algebraic Geometry

Abstract

We give an explicit upper bound for the degree of a tropical basis of a homogeneous polynomial ideal. As an application f-vectors of tropical varieties are discussed. Various examples illustrate differences between Gr\"obner and tropical bases.

Keywords

Cite

@article{arxiv.1511.08123,
  title  = {The degree of a tropical basis},
  author = {Michael Joswig and Benjamin Schröter},
  journal= {arXiv preprint arXiv:1511.08123},
  year   = {2019}
}

Comments

8 pages