48 citations · 157 across the 21 of their papers we have counts for
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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…