48 citations · 157 across the 21 of their papers we have counts for
6 papers · 2 filters
The movable cone via intersections
Brian Lehmann
We characterize the movable cone of divisors using intersections against curves on birational models.
Algebraic bounds on analytic multiplier ideals
Brian Lehmann
Given a pseudo-effective divisor L we construct the diminished ideal of L, a "continuous" extension of the asymptotic multiplier ideal for big divisors to the pseudo-effective boun…
Numerical triviality and pullbacks
Brian Lehmann
Let f: X \to Z be a surjective morphism of smooth complex projective varieties with connected fibers. Suppose that L is a pseudo-effective divisor on X that is f-numerically trivia…
Reduction maps and minimal model theory
Yoshinori Gongyo, Brian Lehmann
We use reduction maps to study the minimal model program. Our main result is that the existence of a good minimal model for a klt pair can be detected on the base of the $(…
On Eckl's pseudo-effective reduction map
Brian Lehmann
Suppose that X is a complex projective variety and L is a pseudo-effective divisor. A numerical reduction map is a quotient of X by all subvarieties along which L is numerically tr…
Comparing numerical dimensions
Brian Lehmann
The numerical dimension is a numerical measure of the positivity of a pseudo-effective divisor . There are several proposed definitions of the numerical dimension due to Nakayam…