J. Herzog

activity

20032025

most citedThe trace of the canonical module

63 citations · 321 across the 78 of their papers we have counts for

collaborators

Showing 2012 · math.ACShow all

9 papers · 2 filters

math.AC2012

Ordinary and symbolic powers are Golod

Jürgen Herzog, Craig Huneke

Let $S$ be a positively graded polynomial ring over a field of characteristic 0, and $I \subset S$ a proper graded ideal. In this note it is shown that $S / I$ is Golod if $\partial(I…

math.AC2012

Powers are Golod

Jürgen Herzog

Let $I$ be a proper graded ideal in a positively graded polynomial ring $S$ over a field of characteristic 0. In this note it is shown that $S / I^{k}$ is Golod for all $k \geq 2$ .

math.AC2012

Bounds for the regularity of local cohomology of bigraded modules

Jürgen Herzog, Ahad Rahimi

Let $M$ be a finitely generated bigraded module over the standard bigraded polynomial ring $S = K [x_{1}, ..., x_{m}, y_{1}, ..., y_{n}]$ , and let $Q = (y_{1}, ..., y_{n})$ . The local cohomology modules…

math.AC2012

Squarefree monomial ideals with constant depth function

Jürgen Herzog, Marius Vladoiu

In this paper we study squarefree monomial ideals which have constant depth functions. Edge ideals, matroidal ideals and facet ideals of pure simplicial forests connected in codime…

math.AC2012★ 4 cited

Persistence and stability properties of powers of ideals

Jürgen Herzog, Ayesha Asloob Qureshi

We introduce the concept of strong persistence and show that it implies persistence regarding the associated prime ideals of the powers of an ideal. We also show that strong persis…

math.AC2012★ 2 cited

Monomial localizations and polymatroidal ideals

Somayeh Bandari, Jürgen Herzog

In this paper we consider monomial localizations of monomial ideals and conjecture that a monomial ideal is polymatroidal if and only if all its monomial localizations have a linea…