102 citations · 119 across the 8 of their papers we have counts for
5 papers · 1 filter
Matroid polytopes, nested sets and Bergman fans
Eva Maria Feichtner, Bernd Sturmfels
The tropical variety defined by linear equations with constant coefficients is the Bergman fan of the corresponding matroid. Building on a self-contained introduction to matroid po…
Complexes of trees and nested set complexes
Eva Maria Feichtner
We exhibit an identity of abstract simplicial complexes between the well-studied complex of trees and the reduced minimal nested set complex of the partition lattice. We conclude t…
De Concini-Procesi wonderful arrangement models - A discrete geometer's point of view
Eva Maria Feichtner
This expository article outlines the construction of De Concini-Procesi arrangement models and describes recent progress in understanding their significance from the algebraic, geo…
On the topology of nested set complexes
Eva Maria Feichtner, Irene Mueller
Nested set complexes appear as the combinatorial core of De Concini-Procesi arrangement models. We show that nested set complexes are homotopy equivalent to the order complexes of…
Incidence combinatorics of resolutions
Eva Maria Feichtner, Dmitry N. Kozlov
We introduce notions of combinatorial blowups, building sets, and nested sets for arbitrary meet-semilattices. This gives a common abstract framework for the incidence combinatoric…