Nicholas McCleerey

activity

20172022

most citedGeodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing math.CVShow all

3 papers · 1 filter

math.CV2022

Lelong Numbers of $m$ -Subharmonic Functions Along Submanifolds

Jianchun Chu, Nicholas McCleerey

We study the possible singularities of an $m$ -subharmonic function $φ$ along a complex submanifold $V$ of a compact Kähler manifold, finding a maximal rate of growth for $φ$ which…

math.CV2021

Plurisupported Currents on Compact Kähler Manifolds

Nicholas McCleerey

Let $X$ be a compact Kähler manifold. We study plurisupported currents on $X$ , i.e. closed, positive $(1, 1)$ -currents which are supported on a pluripolar set. In particular, we are…

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 $C^{1, 1}$ regu…

Lelong Numbers of m-Subharmonic Functions Along Submanifolds

Plurisupported Currents on Compact Kähler Manifolds

Envelopes with Prescribed Singularities

Lelong Numbers of $m$ -Subharmonic Functions Along Submanifolds