19 citations · 54 across the 9 of their papers we have counts for
6 papers · 1 filter
Componentwise linear symbolic powers of edge ideals and Minh's conjecture
Antonino Ficarra, Somayeh Moradi, Tim Römer
In this paper, we study the componentwise linearity of symbolic powers of edge ideals. We propose the conjecture that all symbolic powers of the edge ideal of a cochordal graph are…
Betti numbers of symmetric shifted ideals
Jennifer Biermann, Hernán De Alba, Federico Galetto +5
We introduce a new class of monomial ideals which we call symmetric shifted ideals. Symmetric shifted ideals are fixed by the natural action of the symmetric group and, within the…
Broken circuit complexes and hyperplane arrangements
Le Van Dinh, Tim Roemer
We study Stanley-Reisner ideals of broken circuits complexes and characterize those ones admitting a linear resolution or being complete intersections. These results will then be u…
Algebraic shifting and exterior and symmetric algebra methods
Uwe Nagel, Tim Roemer, Natale Paolo Vinai
We establish results about algebraic shifting of simplicial complexes and use them to compare different shifting operations. In particular, we show that each shifting operation doe…
Subdivisions of toric complexes
Morten Brun, Tim Roemer
We introduce toric complexes as polyhedral complexes consisting of rational cones together with a set of integral generators for each cone, and we define their associated face ring…
Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals
Winfried Bruns, Tim Roemer, Attila Wiebe
We study initial algebras of determinantal rings, defined by minors of generic matrices, with respect to their classical generic point. This approach leads to very short proofs for…