3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AC2005★ 1 cited
Local Cohomology and complete intersections of rank 1
Michael Hellus
The number of equations needed to cut out a variety given by an ideal is called the arithmetic rank (of the ideal). It was shown in [8] that the notion of arithmetic rank is strong…
math.AC2005★ 3 cited
Local Homology, Cohen-Macaulayness and Cohen-Macaulayfications
Michael Hellus
Let (R,m) be a local, complete ring, X an artinian R-module of Noetherian dimension d; let x_1,...,x_d\in m be such that 0:_X (x_1,...,x_d)R has finite length. Then H^x_d(X) is a f…
math.AC2004
On the associated primes of Matlis duals of top local cohomology modules
Michael Hellus
After motivating the question we prove various results about the set of associated primes of Matlis duals of top local cohomology modules. In some cases we can calculate this set,…