69 citations · 209 across the 37 of their papers we have counts for
4 papers · 1 filter
The closure of a linear space in a product of lines
Federico Ardila, Adam Boocher
Given a linear space L in affine space A^n, we study its closure L' in the product of projective lines (P^1)^n. We show that the degree, multigraded Betti numbers, defining equatio…
Positively oriented matroids are realizable
Federico Ardila, Felipe Rincón, Lauren Williams
We prove da Silva's 1987 conjecture that any positively oriented matroid is a positroid; that is, it can be realized by a set of vectors in a real vector space. It follows from thi…
Positroids and non-crossing partitions
Federico Ardila, Felipe Rincón, Lauren Williams
We investigate the role that non-crossing partitions play in the study of positroids, a class of matroids introduced by Postnikov. We prove that every positroid can be constructed…
The arithmetic Tutte polynomials of the classical root systems
Federico Ardila, Federico Castillo, Michael Henley
Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariants of a hypertoric arrangement c…