3 citations · 3 across the 1 of their papers we have counts for
3 papers
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 is reflected in the positivity properties of the diagonal considered as a cycle on . We analyze when the dia…
math.AG2015★ 3 cited
Volume and Hilbert function of R-divisors
Mihai Fulger, János Kollár, Brian Lehmann
If D is a big divisor and E is an effective divisor, then vol(D-E)<=vol(D)<=vol(D+E). We discuss when each inequality is an equality. Surprisingly, the answer is that the asymptoti…