activity
20172021
collaborators

5 papers

math.CV2021

Plurisupported Currents on Compact Kähler Manifolds

Nicholas McCleerey

Let be a compact Kähler manifold. We study plurisupported currents on , i.e. closed, positive -currents which are supported on a pluripolar set. In particular, we are…

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…

math.CV2018

Envelopes with Prescribed Singularities

Nicholas McCleerey

We prove that quasi-plurisubharmonic envelopes with prescribed analytic singularities in suitable big cohomology classes on compact Kähler manifolds have the optimal regu…

math.AG2017

Polar Transform and Local Positivity for Curves

Nicholas McCleerey, Jian Xiao

Using the duality of positive cones, we show that applying the polar transform from convex analysis to local positivity invariants for divisors gives interesting and new local posi…