The degree of a tropical basis

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 Gröbner and tropical bases.

8 pages

Cited by in corpus (4)

• Sharp bounds for the number of regions of maxout networks and vertices of Minkowski sums
• Parallel Computation of tropical varieties, their positive part, and tropical Grassmannians
• Detecting tropical defects of polynomial equations
• Vertex-Maximal Lattice Polytopes Contained in 2-Simplices