5 citations · 14 across the 10 of their papers we have counts for
11 papers
Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares
Grigoriy Blekherman, Sadik Iliman, Martina Kubitzke
We study dimensions of the faces of the cone of nonnegative polynomials and the cone of sums of squares; we show that there are dimensional differences between corresponding faces…
Algebraic properties of classes of path ideals
Martina Kubitzke, Anda Olteanu
We consider path ideals associated to special classes of posets such as tree posets and cycles. We express their property of being sequentially Cohen-Macaulay in terms of the under…
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…