Brian Lehmann

activity

20082023

most citedReduction maps and minimal model theory

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

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AG2017

Iitaka dimension for cycles

Brian Lehmann

We define the Iitaka dimension of a numerical cycle class and develop its theory. We conjecture that the Iitaka dimension is integer-valued, and give some evidence in this directio…

math.AG2017

Positivity of the diagonal

Brian Lehmann, John Christian Ottem

We study how the geometry of a projective variety $X$ is reflected in the positivity properties of the diagonal $Δ_{X}$ considered as a cycle on $X \times X$ . We analyze when the dia…

math.AG2017★ 29 cited

Geometric Manin's Conjecture and rational curves

Brian Lehmann, Sho Tanimoto

Let $X$ be a smooth projective Fano variety over the complex numbers. We study the moduli spaces of rational curves on $X$ using the perspective of Manin's Conjecture. In particula…