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math.AG2019
Volume of Perturbations of Pseudoeffective Classes
Nicholas McCleerey
In this short note, we consider the question of determining the asymptotics of the volume function near the boundary of the pseudoeffective cone on compact Kähler manifolds. We sol…
math.DG2019
regularity of geodesics of singular Kähler metrics
Jianchun Chu, Nicholas McCleerey
We show the optimal regularity of geodesics in nef and big cohomology class on Kähler manifolds away from the non-Kähler locus, assuming sufficiently regular initial data…