22 citations · 24 across the 3 of their papers we have counts for
5 papers
Bergman Complexes, Coxeter Arrangements, and Graph Associahedra
Federico Ardila, Victor Reiner, Lauren Williams
Tropical varieties play an important role in algebraic geometry. The Bergman complex B(M) and the positive Bergman complex B+(M) of an oriented matroid M generalize to matroids the…
Conjectures on the cohomology of the Grassmannian
Victor Reiner, Geanina Tudose
We give a series of successively weaker conjectures on the cohomology ring of the Grassmannian, starting with the Hilbert series of a certain natural filtration.
Factorizations of some weighted spanning tree enumerators
Jeremy L. Martin, Victor Reiner
We give factorizations for weighted spanning tree enumerators of Cartesian products of complete graphs, keeping track of fine weights related to degree sequences and edge direction…
The signature of a toric variety
Naichung Conan Leung, Victor Reiner
We identify a combinatorial quantity (the alternating sum of the h-vector) defined for any simple polytope as the signature of a toric variety. This quantity was introduced by Char…
The Sign Representation for Shephard Groups
Peter Orlik, Victor Reiner, Anne V. Shepler
Shephard groups are unitary reflection groups arising as the symmetries of regular complex polytopes. For a Shephard group, we identify the representation carried by the principal…