471 citations
- The University of TokyoJP12 papers
- Seoul National UniversityKR11 papers
- CEA Paris-SaclayFR10 papers
- Columbia UniversityUS10 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR10 papers
- Direction des EnergiesFR10 papers
- Los Alamos National LaboratoryUS10 papers
- University of Colorado BoulderUS10 papers
- RIKENJP9 papers
- Tokyo University of ScienceJP9 papers
- University of Illinois Urbana-ChampaignUS9 papers
- Abilene Christian UniversityUS8 papers
6 papers · 1 filter
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…
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…
The minimal components of the Mayr-Meyer ideals
Irena Swanson
Mayr and Meyer found ideals (in a polynomial ring in variables over a field and generators of degree at most ) with ideal membership property which is dou…