85 citations · 255 across the 22 of their papers we have counts for
4 papers · 1 filter
The amoeba dimension of a linear space
Jan Draisma, Sarah Eggleston, Rudi Pendavingh +2
Given a complex vector subspace of , the dimension of the amoeba of depends only on the matroid that defines on the ground set $\{1,…
Combinatorial patchworking: back from tropical geometry
Erwan Brugallé, Lucía López de Medrano, Johannes Rau
We show that, once translated to the dual setting of convex triangulations of lattice polytopes, results and methods from previous tropical works by Arnal-Renaudineau-Shaw, Renaudi…
Real phase structures on matroid fans and matroid orientations
Johannes Rau, Arthur Renaudineau, Kris Shaw
We introduce the notion of real phase structure on rational polyhedral fans in Euclidean space. Such a structure consists of an assignment of affine spaces over $\mathbb{Z}/2\mathb…
On the tropical Lefschetz-Hopf trace formula
Johannes Rau
In this follow-up to arXiv:2007.11642, our main result is a tropical Lefschetz-Hopf trace formula for matroidal automorphisms. We show that both sides of the formula are equal to t…