arXiv subjects

Jürgen Stückrad

Publications and source records attributed to Jürgen Stückrad.

2 recordsLinked to original sources

arXiv2012

Matlis duals of top Local Cohomology Modules

In the first section of this paper we present generalizations of known results on the set of associated primes of Matlis duals of local cohomology modules; we prove these generalizations by using a new technique. In section 2 we compute the set of associated primes of the Matlis dual of $\LCMo ^{d-1}_J(R)$, where $R$ is a $d$-dimensional local ring and $J\subseteq R$ an ideal such that $\dim (R/J)=1$ and $\LCMo ^d_J(R)=0$.

math.AC↗

arXiv2007

Castelnuovo-Mumford regularity and reduction number of smooth monomial curves

We compare, for smooth monomial projective curves, the Castel- nuovo-Mumford regularity and the reduction number; we present an example where these two numbers differ. However, we show they coin- cide for a certain class of monomial curves. Furthermore, for smooth monomial curves we prove an inequality which is stronger than the one from the Eisenbud-Goto conjecture.

math.AC↗