5 citations · 14 across the 10 of their papers we have counts for
7 papers · 1 filter
Spectra and eigenvectors of the Segre transformation
Ilse Fischer, Martina Kubitzke
Given two sequences $\fa=(a_n)_{n\geq 0}$ and $\fb=(b_n)_{n\geq 0}$ of complex numbers such that their generating series are of the form $\sum_{n\geq 0}a_n t^n=\frac{\fh(\fa)(t)}{(…
Lefschetz properties and the Veronese construction
Martina Kubitzke, Satoshi Murai
In this paper, we investigate Lefschetz properties of Veronese subalgebras. We show that, for a sufficiently large , the \textsuperscript{th} Veronese subalgebra of a Cohen-M…
Hypergraph Coloring Complexes
Felix Breuer, Aaron Dall, Martina Kubitzke
The aim of this paper is to generalize the notion of the coloring complex of a graph to hypergraphs. We present three different interpretations of those complexes -- a purely combi…
A poset fiber theorem for doubly Cohen-Macaulay posets and its applications to non-crossing partitions and injective words
Myrto Kallipoliti, Martina Kubitzke
This paper studies topological properties of the lattices of non-crossing partitions of types A and B and of the poset of injective words. Specifically, it is shown that after the…
Partition and composition matrices
Anders Claesson, Mark Dukes, Martina Kubitzke
This paper introduces two matrix analogues for set partitions. A composition matrix on a finite set X is an upper triangular matrix whose entries partition X, and for which there a…
A Generalization of NBC Bases to Broken Circuit Complexes of Matroids
Andri Egilsson, Martina Kubitzke
Brown has shown that the Stanley-Reisner ring of the broken circuit complex of a graph has a linear system of parameters which is defined in terms of the circuits and cocircuits of…