8 papers
A correction to: Rational and nearly rational varieties
János Kollár, Karen E. Smith, Alessio Corti
We correct a misattribution in our book.
Jumping Coefficients of Multiplier Ideals
Lawrence Ein, Robert Lazarsfeld, Karen E. Smith +1
We study in this paper some local invariants attached via multiplier ideals to an effective divisor or ideal sheaf on a smooth complex variety. First considered (at least implicitl…
On a Non-Vanishing Conjecture of Kawamata and the Core of an Ideal
Eero Hyry, Karen E. Smith
We show that under suitable hypothesis (which are sharp in certain sense) that the core of an m-primary ideal in a regular local ring of dimension d is equal to the adjoint (or mul…
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…
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…
Simplicity of Rings of Differential Operators in Prime Characteristic
Karen E. Smith, Michel Van den Bergh
Let W be a finite dimensional representation of a linearly reductive group G over a field k. Motivated by their work on classical rings of invariants, Levasseur and Stafford asked…