Zakarias Sjostrom Dyrefelt

Finiteness and rigidity of optimal destabilizing subvarieties for the J-equation

We prove that when the J-equation does not admit a smooth solution, there is always only a finite number of obstructing optimally destabilizing curves and divisors on compact K\"ahler manifolds of any dimension. For threefolds, this establishes the unconditional finiteness of all optimally destabilizing subvarieties. W...