17 citations · 23 across the 7 of their papers we have counts for
11 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…
Inversion of adjunction for local complete intersection varieties
Lawrence Ein, Mircea Mustaţǎ
In this note we build on our previous work with Takehiko Yasuda to prove a precise version of inversion of adjunction for varieties which are local complete intersections.
Bounds for log canonical thresholds with applications to birational rigidity
Tommaso de Fernex, Lawrence Ein, Mircea Mustata
We use intersection theory, degeneration techniques and jet schemes to study log canonical thresholds. Our first result gives a lower bound for the log canonical threshold of a pai…