1 citations · 1 across the 5 of their papers we have counts for
6 papers
Chow polynomials and chain polynomials of matroids are not log-concave
Gergely Bérczi, Basile Coron, Christopher Eur +1
The Hilbert--Poincaré series of the Chow rings of the toric varieties of matroids, often called the \emph{Chow polynomials}, and the -polynomial of their boundary complexes, cal…
Magic positivity of Snapper polynomials for matroids
Shiyue Li
In 1959, Snapper showed that the Euler characteristic of the tensor powers of a line bundle on a normal projective scheme is a polynomial, later named the \emph{Snapper polynomial}…
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…
Multimatroids and rational curves with cyclic action
Emily Clader, Chiara Damiolini, Christopher Eur +2
We study the connection between multimatroids and moduli spaces of rational curves with cyclic action. Multimatroids are generalizations of matroids and delta-matroids introduced b…
Equivariant log-concavity of graph matchings
Shiyue Li
For any graph, we show that the graded permutation representation of the graph automorphism group given by matchings is strongly equivariantly log-concave. The proof gives a family…