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20172022
most citedGeodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem

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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.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…