6 citations · 10 across the 10 of their papers we have counts for
11 papers
Associated primes of local cohomology modules and of Frobenius powers
Anurag K. Singh, Irena Swanson
We construct normal hypersurfaces whose local cohomology modules have infinitely many associated primes. These include unique factorization domains of characteristic zero with rati…
Computations with Frobenius powers
Susan M. Hermiller, Irena Swanson
It is an open question whether tight closure commutes with localization in quotients of a polynomial ring in finitely many variables over a field. Katzman showed that tight closure…
Integral closure of ideals in excellent local rings
Donatella Delfino, Irena Swanson
Let R be an excellent local ring, m its maximal ideal and I an ideal. Then there exists a positive integer c such that for all integers n, the integral closure of (I + m^n) is cont…
A new family of ideals with the doubly exponential ideal membership property
Irena Swanson
Mayr and Meyer found ideals with the doubly exponential ideal membership property. In the analysis of the associated primes of these ideals (in math.AC/0209344), a new family of id…
On the embedded primes of the Mayr-Meyer ideals
Irena Swanson
This paper investigates the doubly exponential ideal membership property of the Mayr-Meyer ideals from the point of view of their associated primes. A doubly-exponential upper boun…
Linear bounds on growth of associated primes
Karen E. Smith, Irena Swanson
We find explicit bounds on the primary components and on the Castelnuovo-Mumford regularity of powers of monomial ideals. We also analyze the primary decompositions of Katzman's ex…