4 papers · 1 filter
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…
Uniform Approximation of Abhyankar Valuation Ideals in Smooth Function Fields
Lawrence Ein, Robert Lazarsfeld, Karen E. Smith
In this paper we use the theory of multiplier ideals to show that the valuation ideals of a rank one Abhyankar valuation centered at a smooth point of a complex algebraic variety a…