Convergent Hahn Series and Tropical Geometry of Higher Rank
arXiv:1809.01457
Abstract
We propose to study the tropical geometry specifically arising from convergent Hahn series in multiple indeterminates. One application is a new view on stable intersections of tropical hypersurfaces. Another one is perturbations of rank one tropical polytopes, which is beneficial for algorithmic purposes.
Final version, to appear in Journal of the London Mathematical Society. 31 pages, 2 figures