Computing tropical points and tropical links
T. Hofmann, Y. Ren · MPG.PuRe (Max Planck Society) · 2018
We present an algorithm for computing zero-dimensional tropical varieties based on triangular decomposition and Newton polygon methods. From it, we derive algorithms for computing points on and links of higher-dimensional tropical varieties, using intersections with affine hyperplanes to reduce the dimension to zero. We use the algorithms to show that the tropical Grassmannians $${\mathcal {G}}_{3,8}$$ and $${\mathcal {G}}_{4,8}$$ are not simplicial.