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13 papers · 1 filter
Integrally Closed Ideals on Log Terminal Surfaces are Multiplier Ideals
Kevin Tucker
We show that all integrally closed ideals on log terminal surfaces are multiplier ideals by extending an existing proof for smooth surfaces.
The Frobenius Structure of Local Cohomology
Florian Enescu, Melvin Hochster
Given a local ring of positive prime characteristic there is a natural Frobenius action on its local cohomology modules with support at its maximal ideal. In this paper we study th…
A short note on containment of cores
Kyungyong Lee
We show that cores of ideals do not preserve the inclusion.
Toric singularities revisited
Howard M Thompson
In [Kat94b], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is lo…
Core versus graded core and global sections of line bundles
Eero Hyry, Karen E. Smith
We find formulas for the graded core of certain m-primary ideals in a graded ring. In particular, if S is the section ring of an ample line bundle on a Cohen-Macaulay complex proje…
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…