2 citations · 4 across the 19 of their papers we have counts for
20 papers
Stellahedral geometry of partially ordered sets
Tommaso Faustini, Luis Ferroni, Ludovico Piazza
We introduce a transformation on partially ordered sets, termed the \emph{stellahedral transform}, with notable features. It preserves the properties of being Eulerian, Cohen--Maca…
There are matroid toric ideals without quadratic Gröbner bases
Jesús A. De Loera, Luis Ferroni, Santiago Morales +1
Our paper shows that if a matroid contains the Fano plane or its dual as a minor, then its toric ideal does not have any quadratic Gröbner basis. More than 25 years ago, Hibi, Herz…
A master theorem for topological zeta functions of matroids
Luis Ferroni, Lorenzo Vecchi
We study the topological zeta function of a loopless matroid and its Möbius transform. We provide a novel and manifest description (a ``Master Theorem'') for both func…
Dual Chow polynomials of matroids and posets
Giovanni Caiolo, Luis Ferroni, Elena Hoster
We introduce and study dual Chow functions associated to kernels in incidence algebras of weakly ranked posets. Given a kernel, its dual Chow function is defined as the Chow functi…
Kazhdan-Lusztig polynomials of Dowling geometries
Luis Ferroni, Matt Larson
We give a concrete combinatorial interpretation of the coefficients of the Kazhdan-Lusztig polynomials of Dowling geometries, a family of matroids which generalizes braid matroids…
Matroid analogues of Gal's conjecture
Basile Coron, Luis Ferroni, Shiyue Li
Well-known conjectures of Charney--Davis, Gal, and Nevo--Petersen predict increasingly strong positivity phenomena for the -vectors of flag simplicial spheres. In this paper, we…
The Poincaré polynomial of the type B analogue of
Luis Ferroni, Roberto Pagaria, Lorenzo Vecchi
We establish formulas for the Poincaré polynomial of the type B analogue of the Deligne--Knudsen--Mumford moduli space of rational curves with marked points, providing type B c…
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…
Inverse Kazhdan-Lusztig polynomials of matroids under deletion
Tom Braden, Luis Ferroni, Jacob P. Matherne +1
We provide a deletion formula for the inverse Kazhdan--Lusztig polynomial and the inverse -polynomial of a matroid. Our formulas provide analogues to the deletion formulas of Br…
Building sets, Chow rings, and their Hilbert series
Christopher Eur, Luis Ferroni, Jacob P. Matherne +2
We establish formulas for the Hilbert series of the Chow ring of a polymatroid using arbitrary building sets. For braid matroids and minimal building sets, our results produce new…
The Ehrhart polynomial of a matroid specializes to the beta invariant
Anastasia Chavez, Galen Dorpalen-Barry, Luis Ferroni +3
We show that the linear coefficient of the Ehrhart polynomial of a matroid base polytope evaluated at is equal to, up to normalization, the -invariant of the matroid. This…
The polytope of all matroids
Luis Ferroni, Alex Fink
It is possible to write the indicator function of any matroid polytope as an integer combination of indicator functions of Schubert matroid polytopes. In this way, every matroid on…
Chow functions for partially ordered sets
Luis Ferroni, Jacob P. Matherne, Lorenzo Vecchi
Three decades ago, Stanley and Brenti initiated the study of the Kazhdan--Lusztig--Stanley (KLS) functions, putting on common ground several polynomials appearing in algebraic comb…
A convex ear decomposition of the augmented Bergman complex of a matroid
Christos A. Athanasiadis, Luis Ferroni
In recent work of Braden, Huh, Matherne, Proudfoot and Wang, a class of simplicial complexes associated to matroids, called augmented Bergman complexes, was introduced. The present…
Preservation of inequalities under Hadamard products
Petter Brändén, Luis Ferroni, Katharina Jochemko
Wagner (1992) proved that the Hadamard product of two Pólya frequency sequences that are interpolated by polynomials is again a Pólya frequency sequence. We study whether related c…
Deletion formulas for equivariant Kazhdan-Lusztig polynomials of matroids
Luis Ferroni, Jacob P. Matherne, Lorenzo Vecchi
We study equivariant Kazhdan--Lusztig (KL) and -polynomials of matroids. We formulate an equivariant generalization of a result by Braden and Vysogorets that relates the equivar…
Tutte polynomials of matroids as universal valuative invariants
Luis Ferroni, Benjamin Schröter
We provide a full classification of all families of matroids that are closed under duality and minors, and for which the Tutte polynomial is a universal valuative invariant. There…
Schubert matroids, Delannoy paths, and Speyer's invariant
Luis Ferroni
We provide a combinatorial way of computing Speyer's -polynomial on arbitrary Schubert matroids via the enumeration of certain Delannoy paths. We define a new statistic of a bas…
Face enumeration for split matroid polytopes
Luis Ferroni, Benjamin Schröter
This paper initiates the explicit study of face numbers of matroid polytopes and their computation. We prove that, for the large class of split matroid polytopes, their face number…