20 citations · 70 across the 16 of their papers we have counts for
21 papers
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…
On the cohomology of arrangements of subtori
Luca Moci, Roberto Pagaria
Given an arrangement of subtori of arbitrary codimension in a torus, we compute the cohomology groups of the complement. Then, using the Leray spectral sequence, we describe the mu…
Representations of automorphism groups on the homology of matroids
Luca Moci, Gian Marco Pezzoli
Given a group of automorphisms of a matroid , we describe the representations of on the homology of the independence complex of the dual matroid . These representat…
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,…