4 papers
Some variational problems for the complex Monge--Amp{è}re operator
Jianchun Chu, Yaxiong Liu, Nicholas McCleerey +1
We consider the Dirichlet problem for the complex Monge--Ampère equation on strongly pseudoconvex Kähler manifolds when the right-hand side is decreasing in the solution. Using f…
Lines in the space of Kähler metrics
Tamás Darvas, Nicholas McCleerey
We establish a Ross-Witt Nyström correspondence for weak geodesic lines in the (completed) space of Kähler metrics. We construct a wide range of weak geodesic lines on arbitrary…
Regularity of the solution to a real Monge--Ampère equation on the boundary of a simplex
Rolf Andreasson, Jakob Hultgren, Mattias Jonsson +2
Motivated by conjectures in Mirror Symmetry, we continue the study of the real Monge--Ampère operator on the boundary of a simplex. This can be formulated in terms of optimal tran…
Asympotitcs for Some Singular Monge-Ampère Equations
Nicholas McCleerey
Given a psh function and a smooth, bounded , it is known that one can solve the Monge-Ampère equation , wi…