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math.DG2024
Wall-chamber decompositions for generalised Monge-Ampère equations
Sohaib Khalid, Zakarias Sjöström Dyrefelt
Generalised Monge-Ampère equations form a large class of PDE including Donaldson's J-equation, inverse Hessian equations, some supercritical deformed Hermitian-Yang Mills equations…
math.DG2022
The set of destabilizing curves for deformed Hermitian Yang-Mills and Z-critical equations on surfaces
Sohaib Khalid, Zakarias Sjöström Dyrefelt
We show that on any compact Kähler surface existence of solutions to the Z-critical equation can be characterized using a finite number of effective conditions, where the number of…