Jürgen Herzog

activity

20162023

collaborators

4 papers

math.AC2023

Toric rings attached to simplicial complexes

Jürgen Herzog, Somayeh Moradi, Ayesha Asloob Qureshi

We consider standard graded toric rings $R_{Δ}$ whose generators correspond to the faces of a simplicial complex $Δ$ . When $R_{Δ}$ is normal, it is shown that its divisor class group i…

math.AC2022

The canonical trace of determinantal rings

Antonino Ficarra, Jürgen Herzog, Dumitru I. Stamate +1

We compute the canonical trace of generic determinantal rings and provide a sufficient condition for the trace to specialize. As an application we determine the canonical trace $\m…

math.AC2022

Rings of invariants for three dimensional modular representations

Jürgen Herzog, Vijaylaxmi Trivedi

Let $p > 3$ be a prime number. We compute the rings of invariants of the elementary abelian $p$ -group $(Z / p Z)^{r}$ for $3$ -dimensional generic representations. Furtherm…

math.AC2016

On the relations of isotonian algebras

Jürgen Herzog, Ayesha Asloob Qureshi, Akihiro Shikama

It is shown that for large classes of posets $P$ and $Q$ , the defining ideal $J_{P, Q}$ of an isotonian algebras is generated by squarefree binomials. Within these classes, those po…