368 citations
- The University of OsakaJP13 papers
- Institute of PhysicsPL12 papers
- Universitat de BarcelonaES9 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Ruhr University BochumDE7 papers
- Brunel University of LondonGB6 papers
- Freie Universität BerlinDE6 papers
- Joint Institute for Nuclear ResearchRU6 papers
- Osipyan Institute of Solid State Physics RASRU6 papers
- University of CologneDE6 papers
- University of WürzburgDE6 papers
- Forschungszentrum JülichDE4 papers
29 papers · 1 filter
The Betti polynomials of powers of an ideal
Juergen Herzog, Volkmar Welker
For an ideal in a regular local ring or a graded ideal in the polynomial ring we study the limiting behavior of the Betti numbers of S/I^k as k goes to infinity. By Kodiyal…
Binomial edge ideals and conditional independence statements
Juergen Herzog, Takayuki Hibi, Freyja Hreinsdottir +2
We introduce binomial edge ideals attached to a simple graph and study their algebraic properties. We characterize those graphs for which the quadratic generators form a Gröbne…
Skeletons of monomial ideals
Juergen Herzog, Ali Soleyman Jahan, Xinxian Zheng
In analogy to the skeletons of a simplicial complex and their Stanley--Reisner ideals we introduce the skeletons of an arbitrary monomial ideal . This al…
How to compute the Stanley depth of a monomial ideal
Jürgen Herzog, Marius Vladoiu, Xinxian Zheng
Let be monomial ideals. We show that the Stanley depth of can be computed in a finite number of steps. We also introduce the $\fdepth$ of a monomial ideal which…
Bounds for Hilbert coefficients
Juergen Herzog, Xinxian Zheng
We compute the Hilbert coefficients of a graded module with pure resolution and discuss lower and upper bounds for these coefficients for arbitrary graded modules.
Linear balls and the multiplicity conjecture
Takayuki Hibi, Pooja Singla
A linear ball is a simplicial complex whose geometric realization is homeomorphic to a ball and whose Stanley--Reisner ring has a linear resolution. It turns out that the Stanley--…