20 citations · 70 across the 16 of their papers we have counts for
15 papers · 1 filter
Elliptic arrangements of complex multiplication type
Luca Moci, Roberto Pagaria, Maddalena Pismataro +1
We provide a natural definition of an elliptic arrangement, extending the classical framework to an elliptic curve E with complex multiplication. We analyse the intersections of el…
Answering Two OPAC Problems Involving Banff Quivers
Tucker J. Ervin, Blake Jackson
In a post on the Open Problems in Algebraic Combinatorics (OPAC) blog, E. Bucher and J. Machacek posed three open problems: OPAC-033, OPAC-034, and OPAC-035. These three problems d…
On chromatic symmetric homology and planarity of graphs
Azzurra Ciliberti, Luca Moci
Sazdanovic and Yip defined a categorification of Stanley's chromatic function called the chromatic symmetric homology. In this paper we prove that (as conjectured by Chandler, Sazd…
The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids
Winfried Bruns, Pedro A. García-Sánchez, Luca Moci
We describe the structure of the monoid of natural-valued monotone functions on an arbitrary poset. For this monoid we provide a presentation, a characterization of prime elements,…
Universal Tutte characters via combinatorial coalgebras
Clément Dupont, Alex Fink, Luca Moci
The Tutte polynomial is the most general invariant of matroids and graphs that can be computed recursively by deleting and contracting edges. We generalize this invariant to any cl…
Polyhedra and parameter spaces for matroids over valuation rings
Alex Fink, Luca Moci
In this paper we address two of the major foundational questions in the theory of matroids over rings. First, we provide a cryptomorphic axiomatisation, by introducing an analogue…