34 citations · 56 across the 26 of their papers we have counts for
6 papers · 1 filter
Gröbner bases of simplicial toric ideals
M. Hellus, J. Stueckrad, L. T. Hoa
Bounds for the maximal degree of certain Gröbner bases of simplicial toric ideals are given. These bounds are close to the bound stated in Eisenbud-Goto's Conjecture on the Casteln…
Castelnuovo-Mumford regularity and reduction number of smooth monomial curves
Michael Hellus, Lê Tuân Hoa, Jürgen Stückrad
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…
On endomorphism rings of local cohomology
Michael Hellus, Juergen Stueckrad
Let R be a local complete ring. For an R-module M the canonical ring map R\to End_R(M) is in general neither injective nor surjective; we show that it is bijective for every local…
Generalization of an example of Hartshorne concerning local cohomology
Michael Hellus, Juergen Stueckrad
We prove the following generalization of an example of Hartshorne: Let k be a field, n=4, R = k[[X1,...,Xn]], I = (X1,...,Xn-2)R and p\in R a prime element such that p\in(Xn-1,Xn)R…
A Note on the injective dimension of local cohomology modules
Michael Hellus
For a noetherian ring R we call an R-module M cofinite if there exists an ideal I of R such that M is I-cofinite; we show that every cofinite module M satisfies dim_R(M)<=injdimR(M…
Local Cohomology and Matlis duality
Michael Hellus
Matlis duals of local cohomology modules are investigated with respect to many different topics (see section 0 - Introduction). One of these topics are complete intersections - see…