17 citations · 24 across the 5 of their papers we have counts for
8 papers · 1 filter
Asymptotic invariants of line bundles
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
Let X be a smooth complex projective variety of dimension d. It is classical that ample line bundles on X satisfy many beautiful geometric, cohomological, and numerical properties…
Asymptotic invariants of base loci
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. We distinguish an…
Contact loci in arc spaces
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata
We study loci of arcs on a smooth variety defined by order of contact with a fixed subscheme. Specifically, we establish a Nash-type correspondence showing that the irreducible com…
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…
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…
Positivity and complexity of ideal sheaves
Steven Dale Cutkosky, Lawrence Ein, Robert Lazarsfeld
The problem of bounding the "complexity" of a polynomial ideal in terms of the degrees of its generators has attracted considerable interest, brought into focus by the influential…