113 citations · 239 across the 11 of their papers we have counts for
11 papers
A Leray model for the Orlik-Solomon algebra
Christin Bibby, Graham Denham, Eva Maria Feichtner
We construct a combinatorial generalization of the Leray models for hyperplane arrangement complements. Given a matroid and some combinatorial blowup data, we give a presentation f…
Tropical Discriminants
Alicia Dickenstein, Eva Maria Feichtner, Bernd Sturmfels
Tropical geometry is used to develop a new approach to the theory of discriminants and resultants in the sense of Gel'fand, Kapranov and Zelevinsky. The tropical A-discriminant, wh…
Formality of the complements of subspace arrangements with geometric lattices
Eva Maria Feichtner, Sergey Yuzvinsky
We show that, for an arrangement of subspaces in a complex vector space with geometric intersection lattice, the complement of the arrangement is formal. We prove that the Morgan r…
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…