4 papers
Structural properties of nested set complexes
Basile Coron, Luis Ferroni, Shiyue Li
We study structural and topological properties of nested set complexes of matroids with arbitrary building sets, proving that these complexes are vertex decomposable and admit conv…
Chow polynomials of rank-uniform labeled posets
Basile Coron, Luis Ferroni, Shiyue Li
We introduce and develop the theory of UMEL-shellable posets. These are posets equipped with an edge-lexicographical labeling satisfying certain uniformity and monotonicity propert…
Matroid complexes and Orlik-Solomon algebras
Basile Coron
In this article we construct a combinatorial quasi-free differential graded model for the Orlik-Solomon algebra of supersolvable matroids, which generalizes in a matroidal setting…
An algebraic interpretation of Eulerian polynomials, derangement polynomials, and beyond, via Gröbner methods
Basile Coron
Motivated by the question of whether Chow polynomials of matroids have only real roots, this article revisits the known relationship between Eulerian polynomials and the Hilbert se…